(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

given: (y-xy)y' = y^(2) + 1 y(0)=0

2. Relevant equations

So I subbed y^(2) = u

3. The attempt at a solution

w/ u=y^(2) i got...

(y-xy)y' = y^(2) + 1

(1-x)yy' = y^(2)

(1-x)(u'/2) = u + 1

and it is here that I am stuck! I [think] I have to put it into the form u' + g(x)*y = b(x) but I can't do it! It is driving me crazy, I have been working on this single problem for over an hour, I am about to lose my sanity, especially since it's ALGEBRA that's tripping me up.

Any help would be greatly appreciated.

I was thinking of trying u = (y^(2) + 1) but I feel like that's leading me to nowhere as well.

Thanks in advance

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

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

# Need help with non-linear ODE IVP

Can you offer guidance or do you also need help?

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