xy'' -(2x+1)y' + (x+1)y = (x e(adsbygoogle = window.adsbygoogle || []).push({}); ^{x})^{2}

I know a solution - (x-1)e^{2x}

Thus, y= ((x-1)e^{2x}u(x))

Now, i know how to do the whole reduction of order thing, but when i find y' and y'' and substitute, the u(x) term doesn't cancel out so this doesn't work

(x^{2}-x)u'' + (2x^{2}-x+1)u' + x^{2}u = x^{2}

So, how do i approach this? Thanks.

**Physics Forums - The Fusion of Science and Community**

# Could use a little advice here, with a 2nd order ODE

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Could use a little advice here, with a 2nd order ODE

Loading...

**Physics Forums - The Fusion of Science and Community**