Solve differential equation dy/dx= y/ 1-e^x

Question

dy/dx = y / 1-e^x

Answer 1

O man i hate derivatives but this looks like you have to use quotent rule.

y/1-e^x=  f'(x)g(g)-f(x)g'(gx)/g(x)^2 (derivative of y is just y prime or y' and derivative of e^x is just e^x times derivative of x which is just 1) (for example e^x^2 would just be e^x^2 x 2x)

y'(1-e^x)-y(1-e^x) / (1-e^x)^2  is your answer

Answer 2

dy/dx +y = 1/ (1 + e^x )