Consider the differential equation where I''+I=e^it where i= sqrt (-1) So I don't know what to do. I do know that The second derivative of c*t*e^(i*t) is -c e^(i t) (-2 i+t) But I don't know what to do for a and b and I need help to get threw this problem before I take my test. a) Find c such that I(t)=cte^it is a solution. Is the equation given what the problem is differentiated? then would you just solve for c? b) Find the general solution and discuss what happens as t approaches infinity . How would you incorporate an infinity?