Originally Posted by

**slapmaxwell1** ok so i did this problem and checked in the back of my book and got it wrong..im hoping someone can show me the error of my work.

(y^2+yx)dx - x^2dy = 0

ok so there are a couple techniques that i can use to solve the problem...

1. almost exact

2. homogeneous

im going with homogeneous, because i think its a little easier to use and would require less steps.

so i make my substitution y= ux

therefore dy = udx +xdu

then after i make my substitution..

(u^2x^2 + ux^2) dx - x^2(udx + xdu)

after doing some algebra i got a final answer of

y = xC1 - x/ln|x|

C1 = 1/C

originally i got x/y = C - ln|x| i just flipped it and redefined my C, not sure if i can do this but it felt good? i dunno..lol thanks in advance.