- #1

0kelvin

- 50

- 5

- Homework Statement
- There is this function $$f(x) = e^{-A(x)} + e^{-A(x)} \int_0^x t e^{A(t)} dt$$

I have to prove that f satisfies $$f(x) + e^{-x^2} f(x) = x$$

- Relevant Equations
- $$A(x) = \int_0^x e^{-y^2} dy$$

I have a feeling that I forgot to copy something from the black board, maybe some f' because as it is I'm not seeing a solution.