1. Find the solution by using the Laplace transform. a) y ′′ + 2ty′ −4y =...

1. Find the solution by using the Laplace transform. a) y ′′ + 2ty′ −4y = 1 , y(0) = y ′ (0) = 0

Expert Solution

Manojponduru answered 1 year ago

using the Laplace transform solve the IVP y'' +4y= 3sin(t) y(0) =1 , y'(0) = -...

using the Laplace transform solve the IVP y'' +4y= 3sin(t) y(0) =1 , y'(0) = - 1 , i am stuck on the partial fraction decomposition step. please explain the decomposition clearly.

Use the Laplace transform to find the solution of the IVP: a.) 2y' + y =...

Use the Laplace transform to find the solution of the IVP: a.) 2y' + y = 1, y(0) = 2 (answer should be y(t) = 1 + e-t / 2 ) f.) 4y" + y = 0, y(0) = -1, y'(0) = -1 (answer should be y(t) = -sin(t) - cos(t)) Please show work!

Use the Laplace transform to solve y'' + 4y' + 5y = 1, y(0)= 1, y'(0)...

Use the Laplace transform to solve y'' + 4y' + 5y = 1, y(0)= 1, y'(0) = 2

Solve using the Laplace transform: y" + 4y = g(t) where y(0) = y'(0). Hint: Use...

Solve using the Laplace transform: y" + 4y = g(t) where y(0) = y'(0). Hint: Use the convolution theorem to write your answer. You may leave your answer expressed in terms of an integral.

Solve using Laplace and Inverse Laplace Transforms. Y’’’-y’’-4y’+4y=0 y(0)=1 y’(0)=9 y’’(0)=1

Solve with Laplace transform 1. y''+ 4 t y'− 4y = 0, y(0) = 0, y'(0)...

Solve with Laplace transform 1. y''+ 4 t y'− 4y = 0, y(0) = 0, y'(0) = −7 2. (1− t) y''+ t y' − y = 0, y(0) = 3, y'(0) = −1

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

FIND THE GENERAL SOLUTION TO THE DE: Y”’ + 4Y” – Y’ – 4Y = 0...

FIND THE GENERAL SOLUTION TO THE DE: Y”’ + 4Y” – Y’ – 4Y = 0 COMPUTE: L {7 e 3t – 5 cos ( 2t ) – 4 t 2 } COMPUTE: L – 1 {(3s + 6 ) / [ s ( s 2 + s – 6 ) ] } SOLVE THE INITIAL VALUE PROBLEM USING LAPLACE TRANSFORMS: Y” + 6Y’ + 5Y = 12 e t WHEN : f ( 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

Question

1. Find the solution by using the Laplace transform. a) y ′′ + 2ty′ −4y =...

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Expert Solution

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using the Laplace transform solve the IVP y'' +4y= 3sin(t) y(0) =1 , y'(0) = -...

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