Thread: Help with a couple differential equation problems.(mostly laplace transforms)

Please and thank you.

Solve by undetermined coefficients
y'' + 3y = -48x² * e^3x

Find a linear operator that annihilates the given function, and verify
3 + e^x * cos2x


Inverse Laplace transforms of
(s + 1)³/s⁴

0.9s/((s - 0.1)(s + 0.2))

Use the Laplace transform to solve the given initial value problem
y'' + y' = 2^1/2sin2^1/2t y(0) = 10, y'(0)= 0

2y''' + 3y'' - 3y' - 2y = e^-t y(0)= 0, y'(0)= 0, y''(0)= 1

Evaluate the Laplace transform of
L[(1 - e^t + 3e^-4t)cos5t]

L^-1[(2s - 1)/(s²(s² + 1)³)]

I'm sorry I don't have all of the symbols down yet.

edit: I solved a couple

Originally Posted by tmanerchia

Please and thank you.

Solve by undetermined coefficients
y'' + 3y = -48x² * e^3x

Find a linear operator that annihilates the given function, and verify
3 + e^x * cos2x


Inverse Laplace transforms of
(s + 1)³/s⁴

0.9s/((s - 0.1)(s + 0.2))

Use the Laplace transform to solve the given initial value problem
y'' + y' = 2^1/2sin2^1/2t y(0) = 10, y'(0)= 0

2y''' + 3y'' - 3y' - 2y = e^-t y(0)= 0, y'(0)= 0, y''(0)= 1

Evaluate the Laplace transform of
L[(1 - e^t + 3e^-4t)cos5t]

L^-1[(2s - 1)/(s²(s² + 1)³)]

I'm sorry I don't have all of the symbols down yet.

edit: I solved a couple

First do not post anywhere near the number of problems you have. Put them is separate threads. It's too confusing to work with.

Second, you said you have done some work. Please show us what you have done.

-Dan

I took out the ones I did the work on. The problems that are left are the ones I don't know how to solve. Sorry about having them all in one post I just thought it would be easier that way.