Question
In: Advanced Math
Use the Laplace transform to solve the given initial-value problem. y'' + y = δ(t −...
Use the Laplace transform to solve the given initial-value problem. y'' + y = δ(t − 6π) + δ(t − 8π), y(0) = 1, y'(0) = 0
Solutions
Colby Messinger answered 1 year agoRelated Solutions
Solve the initial–value problem by using the Laplace transform. y′′ +2y′ +10y = δ(t−π), y(0) =...
Solve the initial–value problem by using the Laplace
transform.
y′′ +2y′ +10y = δ(t−π), y(0) = 0, y′(0) = 4
8) Use the Laplace transform to solve the given initial-value problem. y' − y = 2...
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 given initial-value problem. y'' − 7y' = 12e6t −...
Use the Laplace transform to solve the given initial-value
problem.
y'' − 7y' = 12e6t −
6e−t, y(0) = 1, y'(0) = −1
Use the Laplace transform to solve the given initial-value problem. y'' + 6y' + 34y =...
Use the Laplace transform to solve the given initial-value
problem.
y'' + 6y' + 34y = δ(t − π) + δ(t − 3π), y(0) = 1, y'(0) = 0
y(t) =( ? )+ ( ? )· U (t − π) + ( ? )· U (t − ? )
Use the Laplace transform to solve the given initial-value problem. y'' - 2y'' - 8y =...
Use the Laplace transform to solve the given initial-value
problem.
y'' - 2y'' - 8y = 2sin2t; y(0) = 2, y'(0) = 4
Use the Laplace transform to solve the given initial value problem. y'' + 2y' + 10y...
Use the Laplace transform to solve the given initial value
problem.
y'' + 2y' + 10y = 6cos2t - 4sin2t, y(0)=2, y'(0)= -2
1. Use a Laplace transform to solve the initial value problem: 9y" + y = f(t),...
1. Use a Laplace transform to solve the initial value problem:
9y" + y = f(t), y(0) = 1, y'(0) = 2
2. Use a Laplace transform to solve the initial value problem:
y" + 4y = sin 4t, y(0) = 1, y'(0) = 2
Use the Laplace transform to solve the following initial value problem: y′′−3y′−28y=δ(t−7) y(0)=0, y′(0)=0 y(t)=
Use the Laplace transform to solve the following initial value
problem: y′′−3y′−28y=δ(t−7) y(0)=0, y′(0)=0
y(t)=
Use the Laplace transform to solve the given initial value problem. y(4) − 4y''' + 6y''...
Use the Laplace transform to solve the given initial value
problem.
y(4) − 4y''' + 6y'' − 4y' + y = 0;
y(0) = 1,
y'(0) = 0,
y''(0) = 0,
y'''(0) = 1
Use the Laplace transform to solve the given initial value problem. y(4) − 4y''' + 6y''...
Use the Laplace transform to solve the given initial value
problem.
y(4) − 4y''' + 6y'' − 4y' + y = 0;
y(0) = 1,
y'(0) = 0,
y''(0) = 0,
y'''(0) = 1
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