Exam 17: Second-Order Differential Equations
Exam 1: Functions and Models160 Questions
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Exam 5: Integrals160 Questions
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Exam 17: Second-Order Differential Equations160 Questions
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Solve the differential equation using the method of variation of parameters. 

(Essay)
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A spring with a
mass has natural length
m and is maintained stretched to a length of
m by a force of
N.If the spring is compressed to a length of
m and then released with zero velocity, find the position
of the mass at any time 







(Multiple Choice)
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(36)
A spring with a
mass has natural length
m and is maintained stretched to a length of
m by a force of
If the spring is compressed to a length of
m and then released with zero velocity, find the position
of the mass at any time
Select the correct Answer







(Multiple Choice)
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A spring has a mass of
kg and its damping constant is
The spring starts from its equilibrium position with a velocity of
m/s.Graph the position function for the spring constant 




(Essay)
4.8/5
(37)
A spring with a
kg mass has natural length
m and is maintained stretched to a length of
m by a force of
N.If the spring is compressed to a length of
m and then released with zero velocity, find the position of the mass at any time








(Essay)
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A series circuit consists of a resistor
an inductor with
, a capacitor with
and a generator producing a voltage of
If the initial charge is
and the initial current is 0, find the charge
at time t.






(Essay)
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The solution of the initial-value problem
is called a Bessel function of order 0.Solve the initial - value problem to find a power series expansion for the Bessel function.

(Multiple Choice)
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Suppose a spring has mass M and spring constant k and let
Suppose that the damping constant is so small that the damping force is negligible.If an external force
is applied (the applied frequency equals the natural frequency), use the method of undetermined coefficients to find the equation that describes the motion of the mass.


(Multiple Choice)
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Solve the differential equation using the method of variation of parameters. 

(Essay)
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Solve the initial-value problem using the method of undetermined coefficients.



(Essay)
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Find a trial solution for the method of undetermined coefficients.Do not determine the coefficients. 

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