Question

How do you find all solutions of the differential equation `dy/dx=e^(x-y)`?

Answer 1

`y = log(C+e^x)`

Explanation:

This is a separable differential equation because

`dy/dx=e^(x-y) equiv e^y dy = e^x dx` so the solution is

`e^y = e^x+C` or

`y = log(C+e^x)`