For a and b transform the given initial value problem into an
algebraic equation for Y=L{y}Y=L{y}...
For a and b transform the given initial value problem into an
algebraic equation for Y=L{y}Y=L{y} in the ss-domain. Then find the
Laplace transform of the solution of the initial value problem.
transform the given initial value problem into an algebraic
equation for Y=L{y}Y=L{y} in the ss-domain. Then find the Laplace
transform of the solution of the initial value problem.
y′′−2y′+2y=t^2e^t+7
y(0)=1, y′(0)=1
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)=?