Question

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

Answer 1

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

Explanation:

`(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`