What is a solution to the differential equation $dy/dx=(x+1)/x$ ?

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Answer 1 · 2016-07-19T19:53:26

$y = x + ln x + C$

This differential equation is separable.

$dy/(dx) = (x+1)/(x)$

$dy = (x+1)/(x) dx$

$dy = x/x + 1/x dx$

$int dy = int 1 + 1/x dx$

$y = x + ln x + C$

What is a solution to the differential equation dy/dx=(x+1)/xdy/dx=(x+1)/x?