Question

Verify by differentiation and substitution that the given function is a solution.

Answer 1

\[y'-4ty=1 \]

Answer 2

\[y=\int\limits_{0}^{t}e ^{-2(s^2-t^2)}ds\]

Answer 3

this is DE right?

Answer 4

yes

Answer 5

1. Solve the DE, this is non-separable so solve it for y.

Answer 6

don't I plug in y to the equation?

Answer 7

first you solve for y, then you take the derivative and plug it into y prime, then you plug in the y into the y slot and see if it is true

Answer 8

I have trouble trying to take the derivative of the integral