Complex Signals and Systems help

Thread Starter


Joined Jul 17, 2007
Trying to solve diff. eq:

(dw/dt) + 3w = 6e^j3t u(t).

I can get to the operator form:

(p + 3)w(t) = 6e^j3t u(t) ==> w(t) = (1/(p+3))*[6e^j3t u(t)]

(the 1/p = Heaviside operator). The solution in the example is:

w(t) = (2/(1 + j))e^j3t u(t) - (2/1 + j))e^-3t u(t)

I am lost in the integration.....
Can someone shed some light on this for me? Thanks.