Question

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

Answer 1

`y = x + ln x + C`

Explanation:

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`