Thread: Help solving y'=e^(x-y)

Prompt: y'=e^(x-y); y(0)=1

I understand what to do for the particular solution but am having trouble finding the general equation.

Originally Posted by Lamont

Prompt: y'=e^(x-y); y(0)=1

I understand what to do for the particular solution but am having trouble finding the general equation.

The equation is seperable!



Now just plug in your point to get



This gives

Thanks!