Question

Solve the following initial value problem:
y′′ + 8y = δ(t −1), y(0)=3, y'(0)=4

Answer 1

What're you needing help with?

Answer 2

we just need to solve y′′ + 8y=0 for two cases: t<1 and t>1 by figuring out the correct initial conditions for each case

Answer 3

we can expect y to be continuous and y' to have a jump at t=1

Answer 4

so I just ignore the δ(t −1 until I'm plugging in the initial conditions?

Answer 5

yup