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

use separation of variables to solve the differential equation x^2dy/dx=y-xy

with the initial condition of y(-1)=-1

2. Relevant equations

3. The attempt at a solution

after i separated and integrated i got the answer y=e^(-1/x-lnx+c)

the answer in the book is y=e^-(1+1/x)/x

i can't figure out how they got to that even after i plugged in -1 for x and y

some help would be greatly appreciated

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# Homework Help: Separation of variables help

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