Question

Solve the initial value problem below using the method of Laplace transforms.

ty'' - 4ty' + 4y = 8, y(0) = 2, y'(0) = -5

Answer #1

Solve the initial value problem below using the method of
Laplace transforms. y''-y'-30y=0, y(0) = 4 , y'(0) = 46
y(t) = ?

Solve the initial value problem using Laplace transforms y "+
2ty'-4y = 1; y (0) = y '(0) = 0.

Solve the initial value problem below using the method of
Laplace transforms. y"+11y'+30y=280e^2t, y(0)=1, y'(0)=32

Use the method of Laplace transforms to solve the following
initial value problem. y'' + 6y' + 5y = 12e^t ; y(0) = −1, y'(0) =
7

Use Laplace Transforms to solve the given initial value problem
y''-4y'+4y=t^3e6(2t) y(0)=1 and y'(0)=-2

Use the method of laplace transforms to solve the following
Initial Value Problem:
y"+2y'+y=g(t), y'(0)=0

Solve the initial value problem using Laplace transforms.
Explain and show all steps.
y'' + 9y = 3δ(t - π)
where y(0) = 3 and y'(0) = 0

Use the Laplace transform to solve the given initial-value
problem. Use the table of Laplace transforms in Appendix III as
needed.
y'' + 25y = cos 5t, y(0) =
3, y'(0) = 4

Solve the initial value problem using the method of
the laplace transform.
y"+4y'+4y=8t,y(0)=-4,y'(0)=4

Use Laplace Transforms to solve the initial value problem for
y(t). Show all steps. Circle your answer.
y''+ 6y' + 9y = 90t^(4)e^(−3t)
y(0)= -2 , y'(0)= 6

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