Deck 16: Exact First-Order Equations

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the general solution of the differential equation the general solution of the differential equation  <div style=padding-top: 35px>
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the particular solution of the differential equation the particular solution of the differential equation  <div style=padding-top: 35px>
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the particular solution of the differential equation the particular solution of the differential equation  <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation   coefficients.  <div style=padding-top: 35px> coefficients. Solve the differential equation   coefficients.  <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation   coefficients.  <div style=padding-top: 35px> coefficients. Solve the differential equation   coefficients.  <div style=padding-top: 35px>
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the general solution of the linear differential equation the general solution of the linear differential equation  <div style=padding-top: 35px>
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the value of k such that the differential equation the value of k such that the differential equation  <div style=padding-top: 35px>
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Sketch a graph of the solution of the differential equation Sketch a graph of the solution of the differential equation    <div style=padding-top: 35px> Sketch a graph of the solution of the differential equation    <div style=padding-top: 35px>
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     <div style=padding-top: 35px>      <div style=padding-top: 35px>      <div style=padding-top: 35px>
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   <div style=padding-top: 35px>    <div style=padding-top: 35px>
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the integrating factor of the differential equation the integrating factor of the differential equation  <div style=padding-top: 35px>
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   <div style=padding-top: 35px>    <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation   undetermined coefficients.  <div style=padding-top: 35px> undetermined coefficients. Solve the differential equation   undetermined coefficients.  <div style=padding-top: 35px>
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   <div style=padding-top: 35px>    <div style=padding-top: 35px>
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  is a function of x or y alone.  <div style=padding-top: 35px> is a function of x or y alone.   is a function of x or y alone.  <div style=padding-top: 35px>
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Suppose a 32-pound weight is suspended on a spring. The weight is pulled Suppose a 32-pound weight is suspended on a spring. The weight is pulled   below the equilibrium position and released. The motion takes place in a Med that furnishes a  <div style=padding-top: 35px> below the equilibrium position and released. The motion takes place in a Med that furnishes a Suppose a 32-pound weight is suspended on a spring. The weight is pulled   below the equilibrium position and released. The motion takes place in a Med that furnishes a  <div style=padding-top: 35px>
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   <div style=padding-top: 35px>    <div style=padding-top: 35px>
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the particular solution of the differential equation the particular solution of the differential equation    <div style=padding-top: 35px> the particular solution of the differential equation    <div style=padding-top: 35px>
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the integrating factor of the differential equation the integrating factor of the differential equation   a function of x or y alone.  <div style=padding-top: 35px> a function of x or y alone. the integrating factor of the differential equation   a function of x or y alone.  <div style=padding-top: 35px>
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the particular solution of the differential equation the particular solution of the differential equation  <div style=padding-top: 35px>
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the interval of convergence for the solution of the differential equation the interval of convergence for the solution of the differential equation  <div style=padding-top: 35px>
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the particular solution of the differential equation the particular solution of the differential equation  <div style=padding-top: 35px>
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the first eight terms of the power series representing independent solutions of the first eight terms of the power series representing independent solutions of    <div style=padding-top: 35px> the first eight terms of the power series representing independent solutions of    <div style=padding-top: 35px>
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the first six terms of the power series representing independent solutions of the the first six terms of the power series representing independent solutions of the  <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation    <div style=padding-top: 35px> Solve the differential equation    <div style=padding-top: 35px>
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the particular solution of the differential equation the particular solution of the differential equation    <div style=padding-top: 35px> the particular solution of the differential equation    <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation    <div style=padding-top: 35px> Solve the differential equation    <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation   parameters.  <div style=padding-top: 35px> parameters. Solve the differential equation   parameters.  <div style=padding-top: 35px>
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the electrical circuit differential equation the electrical circuit differential equation    <div style=padding-top: 35px> the electrical circuit differential equation    <div style=padding-top: 35px>
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Using the method of undetermined coefficients, determine the most suitable choice Using the method of undetermined coefficients, determine the most suitable choice  <div style=padding-top: 35px>
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the particular solution of the differential equation the particular solution of the differential equation  <div style=padding-top: 35px>
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   <div style=padding-top: 35px>    <div style=padding-top: 35px>
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the interval of convergence for the solution of the differential equation the interval of convergence for the solution of the differential equation  <div style=padding-top: 35px>
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Taylor's Theorem to find the first four terms of the series solution of Taylor's Theorem to find the first four terms of the series solution of    <div style=padding-top: 35px> Taylor's Theorem to find the first four terms of the series solution of    <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation    <div style=padding-top: 35px> Solve the differential equation    <div style=padding-top: 35px>
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Taylor's Theorem to find the first five terms of the series solution of Taylor's Theorem to find the first five terms of the series solution of  <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation    <div style=padding-top: 35px> Solve the differential equation    <div style=padding-top: 35px>
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the interval of convergence for the solution of the differential equation the interval of convergence for the solution of the differential equation  <div style=padding-top: 35px>
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a power series to solve the differential equation a power series to solve the differential equation    <div style=padding-top: 35px> a power series to solve the differential equation    <div style=padding-top: 35px>
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Solve the differential equation Solve the differential equation   parameters.  <div style=padding-top: 35px> parameters. Solve the differential equation   parameters.  <div style=padding-top: 35px>
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the series solution of the differential equation the series solution of the differential equation    <div style=padding-top: 35px> the series solution of the differential equation    <div style=padding-top: 35px>
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Taylor's Theorem to find the first eight terms of the series solution of Taylor's Theorem to find the first eight terms of the series solution of  <div style=padding-top: 35px>
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Taylor's Theorem to find the first six terms of the series solution of Taylor's Theorem to find the first six terms of the series solution of    <div style=padding-top: 35px> Taylor's Theorem to find the first six terms of the series solution of    <div style=padding-top: 35px>
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Taylor's Theorem to find the first four terms of the series solution of Taylor's Theorem to find the first four terms of the series solution of  <div style=padding-top: 35px>
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Taylor's Theorem to find the first four terms of the series solution of Taylor's Theorem to find the first four terms of the series solution of  <div style=padding-top: 35px>
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Deck 16: Exact First-Order Equations
1
the general solution of the differential equation the general solution of the differential equation
C
2
the particular solution of the differential equation the particular solution of the differential equation
C
3
the particular solution of the differential equation the particular solution of the differential equation
B
4
Solve the differential equation Solve the differential equation   coefficients.  coefficients. Solve the differential equation   coefficients.
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5
Solve the differential equation Solve the differential equation   coefficients.  coefficients. Solve the differential equation   coefficients.
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6
the general solution of the linear differential equation the general solution of the linear differential equation
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7
the value of k such that the differential equation the value of k such that the differential equation
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8
Sketch a graph of the solution of the differential equation Sketch a graph of the solution of the differential equation    Sketch a graph of the solution of the differential equation
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9
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10
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11
the integrating factor of the differential equation the integrating factor of the differential equation
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12
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13
Solve the differential equation Solve the differential equation   undetermined coefficients.  undetermined coefficients. Solve the differential equation   undetermined coefficients.
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14
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15
  is a function of x or y alone.  is a function of x or y alone.   is a function of x or y alone.
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16
Suppose a 32-pound weight is suspended on a spring. The weight is pulled Suppose a 32-pound weight is suspended on a spring. The weight is pulled   below the equilibrium position and released. The motion takes place in a Med that furnishes a  below the equilibrium position and released. The motion takes place in a Med that furnishes a Suppose a 32-pound weight is suspended on a spring. The weight is pulled   below the equilibrium position and released. The motion takes place in a Med that furnishes a
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17
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18
the particular solution of the differential equation the particular solution of the differential equation    the particular solution of the differential equation
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19
the integrating factor of the differential equation the integrating factor of the differential equation   a function of x or y alone.  a function of x or y alone. the integrating factor of the differential equation   a function of x or y alone.
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20
the particular solution of the differential equation the particular solution of the differential equation
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21
the interval of convergence for the solution of the differential equation the interval of convergence for the solution of the differential equation
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22
the particular solution of the differential equation the particular solution of the differential equation
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23
the first eight terms of the power series representing independent solutions of the first eight terms of the power series representing independent solutions of    the first eight terms of the power series representing independent solutions of
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24
the first six terms of the power series representing independent solutions of the the first six terms of the power series representing independent solutions of the
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25
Solve the differential equation Solve the differential equation    Solve the differential equation
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26
the particular solution of the differential equation the particular solution of the differential equation    the particular solution of the differential equation
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27
Solve the differential equation Solve the differential equation    Solve the differential equation
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28
Solve the differential equation Solve the differential equation   parameters.  parameters. Solve the differential equation   parameters.
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29
the electrical circuit differential equation the electrical circuit differential equation    the electrical circuit differential equation
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30
Using the method of undetermined coefficients, determine the most suitable choice Using the method of undetermined coefficients, determine the most suitable choice
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31
the particular solution of the differential equation the particular solution of the differential equation
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32
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33
the interval of convergence for the solution of the differential equation the interval of convergence for the solution of the differential equation
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34
Taylor's Theorem to find the first four terms of the series solution of Taylor's Theorem to find the first four terms of the series solution of    Taylor's Theorem to find the first four terms of the series solution of
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35
Solve the differential equation Solve the differential equation    Solve the differential equation
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36
Taylor's Theorem to find the first five terms of the series solution of Taylor's Theorem to find the first five terms of the series solution of
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37
Solve the differential equation Solve the differential equation    Solve the differential equation
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38
the interval of convergence for the solution of the differential equation the interval of convergence for the solution of the differential equation
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39
a power series to solve the differential equation a power series to solve the differential equation    a power series to solve the differential equation
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40
Solve the differential equation Solve the differential equation   parameters.  parameters. Solve the differential equation   parameters.
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41
the series solution of the differential equation the series solution of the differential equation    the series solution of the differential equation
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42
Taylor's Theorem to find the first eight terms of the series solution of Taylor's Theorem to find the first eight terms of the series solution of
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43
Taylor's Theorem to find the first six terms of the series solution of Taylor's Theorem to find the first six terms of the series solution of    Taylor's Theorem to find the first six terms of the series solution of
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44
Taylor's Theorem to find the first four terms of the series solution of Taylor's Theorem to find the first four terms of the series solution of
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45
Taylor's Theorem to find the first four terms of the series solution of Taylor's Theorem to find the first four terms of the series solution of
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