Question

Differential equations
dy/dx = e^x-y

Answer 1

`(dy)/(dx)=e^(x-y) \\ \\ (dy)/(dx)=(e^(x))/(e^(y)) \\ \\ e^(y) \text{ } dy=e^(x) \text{ } dx \\ \\ \int e^(y) \text{ } dy=\int e^(x) \text{ } dx \\ \\ e^(y)=e^(x)+C \\ \\ \boxed{y=\ln \left(e^(x)+C \right)}`