Rewrite as*Find an explicit particular solution of the initial problem :

dy/dx= 6e^(2x-y) , y(0)=0.

(I know the Physics Maestro helped me with this question but the teacher has not tought us that way because he is trying to make it easier for us because it's summer!

Separate variables:

Integrate:

IC is y(0)=0:

C=-2