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1. Solve the inhomogeneous second order de:

x^2y" - 3xy' + 4y =x^4

2. Worked: y(p) = 1/4*x^4

Given: y(1) = x^2

y(2) = log(x)*x^2

3. I just need help getting the roots of the given de so i can determine y(h) of this de. As i have already solved the particular solution y(p) and then the general solution

y(g) = y(h) + y(p)

Im thinking this has imaginary roots as i gave it a crack to get y(h) and the best i could think of was (r - 2/x) - 1/x = 0, which doesnt really lead me anywhere i think.

Do i have to use the quadratic formula to get the roots of this equation? and if so some pointers in the right direction would be much appreciated!

Thanks