- #1

thelannonmonk

- 7

- 0

## Homework Statement

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

## Homework Equations

So I subbed y^(2) = u

## 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