Solve dy/dx + yf'(x) = f(x).f'(x) where f(x) is a given function of x.
The Attempt at a Solution
This is a linear differential equation where I.F. = e^f(x)
On solving, I got the answer as
y = f(x) - 1 which doesnot make sense as differentiating it doesnot give back the equation in question. Where am I wrong?