8)
Use the Laplace transform to solve the given initial-value
problem.
y' − y = 2 cos(4t), y(0) = 0
y(t)=???
9)
Use the Laplace transform to solve the given initial-value
problem.
y'' − 5y' = 8e4t −
4e−t, y(0) = 1, y'(0) = −1
y(t)=?
10)
Use the Laplace transform to solve the given initial-value
problem.
y''' + 2y'' − y' − 2y = sin(4t), y(0) =
0, y'(0) = 0, y''(0) = 1
y(t)=?
Use the Laplace transform to solve the following initial value
problem,
y′′ − y′ − 30y = δ(t − 7),y(0) = 0, y′(0) = 0.
The solution is of the form ?[g(t)] h(t).
(a) Enter the function g(t) into the answer box below.
(b) Enter the function h(t) into the answer box below.