TITLE: Unable to solve differential... $yy'=y+1$
QUESTION [0 upvotes]: The differential equation is:
$$yy'=y+1$$I've been trying to solve this problem all evening, but I cannot figure it out, and none of the online calculators show me the steps on how to find the solution. Could anybody help me out?

REPLY [1 votes]: $$\frac{y\,dy}{y+1}=dx.$$
By integration from $x_0$,
$$y-y_0-\log\frac{y+1}{y_0+1}=x-x_0.$$
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