- #1
kasse
- 384
- 1
Homework Statement
x^2y''-2xy'+2y=x^3cosx
Find a general solution by using variation of parameters
2. The attempt at a solution
I already solved this one, but I have 4 questions:
1. I found the solutions x and x^2 to the homogeneous equation by inspection. Is this the only way to do it?
2. How about the solutions -x and -x^2? I first tried the solutions x^2 and -x^2, and that gave me 0 as the particular solution...Why can't I choose these two?
3. When calculating the Wronski, how do I know which solution is y1 and y2? I first chose y1 as x^2, and that gave me a different solution...
4. Why are there no constants of integration?