- #1

killersanta

- 63

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## Homework Statement

Solve the differential equations [Find the general solution y(t)=KYh(t) + Yp (t)]. Use the method of finding the integrating factor.

dy/dt = -2ty + 4e^-t^2

## The Attempt at a Solution

S = intergrat

dy/dt = -2ty + 4e^-t^2

dy/dt + 2ty = 4e^-t^2

P(t) = 2t

b(t) = 4e^-t^2

U(t) = e^(S 2t dt)

U(t) = e ^t^2

Y(t) = 1 / e^t^2 * S e^t^2 * 4e^-t^2

I guess I just don't know how to intergrat e^t^2 * 4e^-t^2