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#### marcadams267

##### New member

- Aug 26, 2019

- 9

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, im 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.