SOLUTION: Y'+x^2y=x^2

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Question 877969: Y'+x^2y=x^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Y'+x^2y=x^2
dy%2Fdx%2Bx%5E2y=x%5E2
dy%2Fdx=x%5E2-x%5E2y
dy%2Fdx=x%5E2%281-y%29
dy%2F%281-y%29=x%5E2dx
-ln%281-y%29=x%5E3%2F3%2BC
ln%281-y%29=-x%5E3%2F3%2BC
1-y=Ce%5E%28-x%5E3%2F3%29
highlight%28y=Ce%5E%28-x%5E3%2F3%29%2B1%29
Although it's hidden the exponent for e is -x%5E3%2F3