Question

Solve the following differential equation subject to the initial conditions stated; Y(t) = ? (see attachment)

Answer 1

Integrate twice with respect to t

Answer 2

Don't forget that because y(0)=0, you need to add a constant term 1/4

Answer 3

\[y=-\frac{1}{4}e^{-4t}\]
\[y'=e^{-4t}\]
\[y''=-4e^{4t}\]

Answer 4

+1/4

Answer 5

yep

Answer 6

Thank you !!!!!