When you are solving this DE, I assume you are solving for ...
This is first order linear, so the Integrating Factor is .
Multiplying both sides by the Integrating Factor gives
.
I dont quite know how to begin with this question.
(1)
where , and is a continuous complex function of real variable.
a) Derive the variation of constants formula for finding a particular solution of (1).
b) Using this formula, find the general solution of (1) with
I tried to write z as (x+iy) and find a solution using variable of constants(parameters) method, but have come to no avail, i missed the lecture which covered this but even with borrowing someone elses notes i cant seem to work it out, neither can most people ive spoken to, how would i go about doing this question?
I had never assumed to be the derivative of z w.r.t t, i though it was the complex conjugate of z. the question for the amount of marks given for it seems too simple for it to be the derivative. Is there anyway it could be the complex conjugate instead? Or is that just not possible.