Solve initial value problem using sep. of variables
I ended up using integration by parts and got to here:
y=cosx * sinx - x + C
and C= pi/4
but the book says the answer is:
what did I do wrong?
You only use separation of variables if you have a Separable linear DE, which you don't, so I guess you're trying to do integration by parts...
Integration by parts is as follows...
So if you're integrating , then and . So what are and ?
In this case you should end up with ... not fun to work with as it's just as bad as . Just use the trig identity.