Deck 16: Exact First-Order Equations
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Deck 16: Exact First-Order Equations
1
the general solution of the differential equation 

C
2
the particular solution of the differential equation 

C
3
the particular solution of the differential equation 

B
4
Solve the differential equation
coefficients. 


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5
Solve the differential equation
coefficients. 


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6
the general solution of the linear differential equation 

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7
the value of k such that the differential equation 

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8
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 

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12


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13
Solve the differential equation
undetermined coefficients. 


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14


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15


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16
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



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19
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 

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21
the interval of convergence for the solution of the differential equation 

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22
the particular solution of the differential equation 

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23
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 

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25
Solve the differential equation



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26
the particular solution of the differential equation



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27
Solve the differential equation



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28
Solve the differential equation
parameters. 


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29
the electrical circuit differential equation



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30
Using the method of undetermined coefficients, determine the most suitable choice 

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31
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 

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34
Taylor's Theorem to find the first four terms of the series solution of



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35
Solve the differential equation



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36
Taylor's Theorem to find the first five terms of the series solution of 

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37
Solve the differential equation



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38
the interval of convergence for the solution of the differential equation 

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39
a power series to solve the differential equation



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40
Solve the differential equation
parameters. 


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41
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 

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43
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 

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45
Taylor's Theorem to find the first four terms of the series solution of 

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