Separable differential equation, ex2

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how to solve separable differential equation
x*y^2*y'=x+1

If you got the right answer, comment #yay down below.

This problem is from Single Variable Calculus, by James Stewart,

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Learning from your videos I have become so smart among my friends . Heartily Thanks & Welcome from Krish_Kumar[BIHAR]

ErKrish
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You are super helpful! Thank you so much!!!

jyji
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I used to have the same trouble with whiteboard pens; if you do not use one of them for a few seconds it dries up. Deep frustration if you have difficulty with the two pen trick!

owenpeter
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why y = 0 wont be a solution like in the last video

brave