I need help with converting
y' = \sin(x-y)
to separable form. What I've done so far is to apply the difference formula:
y' = \sin(x)\cos(y) - \cos(x)\sin(y)
I need help with converting
y' = \sin(x-y)
to separable form. What I've done so far is to apply the difference formula:
y' = \sin(x)\cos(y) - \cos(x)\sin(y)
The idea is to get rid of the $\sin$ argument: $ z = x-y$ then y' = 1-z' and you have 1-z' = \sin z \Leftrightarrow z' = 1-\sin z which is an ODE with separated variables and you can easily integrate it.