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**1. The problem statement, all variables and given/known data**

this problem was on my finals and i stared at it for 30 mins straight and still didn't figure it out and now it just bothers me that i don't know how to do the first problem on my final exam.

"find the general solution to the dfq"

xy'+xy= 1-y

**2. Relevant equations**

**3. The attempt at a solution**

i dont think its linear cause if you do the integrating factor the right side is interms of x and y

i don't think its separable... or multiplying by 1/x and subbing v for y/x could help

i don't think its exact? or is it im not sure

bernouli's formula wont help here.

i don't know its probably something really stupid and easy... thanks for the help!