Question
In: Advanced Math
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
Solutions
Colby Messinger 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'' + 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 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
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.
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
se the Laplace transform to solve the given initial-value problem. y'' − 6y' = 10e^5t −...
se the Laplace transform to solve the given initial-value
problem. y'' − 6y' = 10e^5t − 5e^−t, y(0) = 1, y'(0) = −1
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