- #1

marcadams267

- 21

- 1

dx/dt+4x=2sin(3t) ; x(0)=0

Now I know that for the natural response I set the right side of the equation equal to 0, so I get

dx/dt+4x=0, thus the characteristic equation is m+4=0 and I get -4 as the root and the solution to the natural response is Ae^-4t and since x(0)=0, A must be 0.

So the natural response is just 0.

However, I am not sure about how to get the forced response, which is when the right side of the equation is not set to 0. Any help is appreciated, thank you.