Solve the laplace transform to solve the initial value problem. y"-6y'+9y=t. Y(0)=0, y'(0)=1

Solve the laplace transform to solve the initial value problem.

y"-6y'+9y=t. Y(0)=0, y'(0)=1

Expert Solution

milcah answered 2 years ago

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

Take the Laplace transform the following initial value problem and solve for Y(s)=L{y(t)} y”-6y’-27y={1, 0<=t<1 ;...

Take the Laplace transform the following initial value problem and solve for Y(s)=L{y(t)} y”-6y’-27y={1, 0<=t<1 ; 0, 1<=t y(0)=0, y’(0)=0 Y(s)=? Now find the inverse transform to find y(t)=? Note: 1/[s(s-9)(s+3)]=(-1/27)/s+(1/36)/(s+3)+(1/108)/(s-9)

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 a Laplace transform to solve the initial value problem: y''' =y+1, y(0) = 0, y'(0)...

Use a Laplace transform to solve the initial value problem: y''' =y+1, y(0) = 0, y'(0) = 0, y''(0) = 0.

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

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

use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1

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

Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below....

Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'''+7y''+4y'-12y= -24, y(0) = 11, y'(0)= 5, y''(0) = -43

Question

Solve the laplace transform to solve the initial value problem. y"-6y'+9y=t. Y(0)=0, y'(0)=1

Solutions

Expert Solution

Related Solutions

1. Use a Laplace transform to solve the initial value problem: 9y" + y = f(t),...

Take the Laplace transform the following initial value problem and solve for Y(s)=L{y(t)} y”-6y’-27y={1, 0<=t<1 ;...

Use the Laplace transform to solve the given initial-value problem. y'' + 6y' + 34y =...

Use a Laplace transform to solve the initial value problem: y''' =y+1, y(0) = 0, y'(0)...

Use the Laplace transform to solve the given initial value problem. y(4) − 4y''' + 6y''...

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se the Laplace transform to solve the given initial-value problem. y'' − 6y' = 10e^5t −...

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Solve the initial–value problem by using the Laplace transform. y′′ +2y′ +10y = δ(t−π), y(0) =...

Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below....