Question
In: Math
Use the Laplace transform to solve the following initial value problem, y′′ − y′ − 30y ...
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.
Solutions
milcah answered 2 years agoRelated Solutions
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
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
Use Laplace transform and inverse Laplace transform to solve the givien initial value problems (c) y′′...
Use
Laplace transform and inverse Laplace transform to solve the givien
initial value problems
(c) y′′ −2y′ +2y=e−t, 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
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
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
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