a Find x 2 e x dx b Use your answer to part a to find the solution to the differential equation given that y 0 when x 0 Express your answer in the form y f(x) dy d x xey x

Question: a. Find x 2 e x dx. b. Use your answer to part a to find the solution to the differential equation given that

a. Find ∫ x²e^−xdx.

b. Use your answer to part a to find the solution to the differential equation dy d.x ==xey-x given that y = 0 when x = 0. Express your answer in the form y = f(x).

dy d.x ==xey-x

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