How to you find the general solution of $dy/dx=(x-2)/x$ ?

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Answer 1 · 2016-11-29T20:41:55

The equation is separable so you separate the variables and integrate both members of the equation

$(dy)/(dx) = frac (x-2) x$

$dy= frac (x-2) x dx$

$int dy= int frac (x-2) x dx$

$y = int dx -2 int (dx)/x$

$y = x -2 ln x +C$

How to you find the general solution of dy/dx=(x-2)/xdy/dx=(x-2)/x?