I need to find a solution to the following problem:(adsbygoogle = window.adsbygoogle || []).push({});

[tex](x^{2}-1)\frac{dy}{dx}+2y=(x+1)^{2}[/tex]

[tex]y(0)=0[/tex]

I decided to try using variation of parameters. My teacher was unable to show any examples, and I'm having issues understanding the textbook.

From what I see I need to get it onto this form:

[tex]y'=f(x)y+g(x)[/tex]

I think this is correct

[tex]\frac{dy}{dx}=\frac{(x+1)^{2}-2y}{x^{2}-1}=\frac{-2}{x^{2}-1}y+\frac{(x+1)^{2}}{x^{2}-1}[/tex]

Now what do I need to do? I'm having trouble understanding the textbook.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Solving An Initial Value DE Using Variation of Parameters

**Physics Forums | Science Articles, Homework Help, Discussion**