Signals and Systems | Impulse Response Problem

[haitham111]

Homework Statement

Find the impulse response for the systems governed by the following equations:
3y(t)'+5y(t)=x(t)+x(t)'[/B]

Homework Equations

The Attempt at a Solution

I tried to obtain the homogeneous solution for h(t)[/B]
and then I failed to obtain the coefficients of the solution

 

[donpacino]

you need to show some more work for us to help you. Why don't you show us how you tried to obtain the solution

 

[rude man]

Homework Statement

Find the impulse response for the systems governed by the following equations:
3y(t)'+5y(t)=x(t)+x(t)'[/B]

Homework Equations

The Attempt at a Solution

I tried to obtain the homogeneous solution for h(t)[/B]
and then I failed to obtain the coefficients of the solution

Change to Laplace.

 

[haitham111]

Change to Laplace.

since the order of x(t) is the same order of y(t)
the general solution of h(t) is h(t)=Ay(t)homo u(t)+Bdelta(t)
and with sub. into the diff.eq i obtained A and B with coefficents equating method.

I tried with laplace, and it had the same answer of the first methodI think my problem is solved right now thank you all