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I'm trying to understand this concept. Jere's the problem i'm doing.

I have to find the general solution for:

y'' + 36y = -4xsin(6x)

So you then solve for your characteristic equation and get lamda = +/- 6

so y1 = e^-6x and y2 = e^6x

You get your matrix for w, w1, and w2.

w = 12

w1 = 4xe^6xsin(6x)

w2 = -4xe^-6xsin(6x)

I have the problem at getting u1 and u2.

u1 = 1/3 the integral of xe^6xsin(6x) dx

u2 = -1/3 the integral of xe^-6xsin(6x) dx

How do you do that integration?

Thanks for your help,

Tom