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

Expert Solution

Colby Messinger answered 1 year ago

Next > < Previous

Related 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

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 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.

Subjects