Find the solution of the differential equation of this separable variable: y '= 10 ^ (x + y)

Find the solution of the differential equation of this separable variable: y '= 10 ^ (x + y)


dy/dx=10^(x+y)
dy/10^y=10^xdx
The integral on both sides is - 10 ^ (- y) / ln10 = 10 ^ X / ln10 + C
-10^(-y)=10^x+C'
This is the solution of the differential equation