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## Homework Statement

Solve 2*dy/dx - y = e^x at y(0) = 0

## The Attempt at a Solution

So the integrating factor is e^-x

Multiplying through by e^-x:

2e^-x(dy/dx) - ye^-x = 1

Now this is where I'm having a slight problem, isn't the left hand side meant to contract via the product rule to d/dx(...) ?

Except that the derivative of 2e^-x is not -e^-x

What have I done wrong?