General solution of differential equation y '- e ^ (X-Y) + e ^ x = 0

General solution of differential equation y '- e ^ (X-Y) + e ^ x = 0

y'=e^x[e^(-y)-1]
dy/[e^(-y)-1]=e^xdx
d(e^y)/(1-e^y)=e^xdx
Integral: ln | 1-e ^ y | = e ^ x + C1
Get: 1-e ^ y = CE ^ (e ^ x)