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## Homework Statement

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?