Solve the following initial value problem. y′′ − 10y′ + 24y = 5x + e^(4x), y(0) ...

Solve the following initial value problem. y′′ − 10y′ + 24y = 5x + e^(4x), y(0) = 0, y′(0) = 4

(not using Laplace)

Expert Solution

milcah answered 1 year ago

1. Solve the initial value problems a.) y"-10y'+25y=e^5x, y(0)= 1 and y'(0)= 6 b.) y"+y'-2y=2sin(x), y(0)=...

1. Solve the initial value problems a.) y"-10y'+25y=e^5x, y(0)= 1 and y'(0)= 6 b.) y"+y'-2y=2sin(x), y(0)= 1 and y'(0)= 2 c.) y"+14y'+49y=0, y(0)= -1 and y'(0)= 9 2. Find a two-parameter family of solutions to the following differential equations a.) y"-3y'-10y=14e^-2x b.) y"-6y'+25y=0

Solve the given initial value problem. y'''+2y''-13y'+10y=0 y(0)=4 y'(0)=42 y''(0)= -134 y(x)=

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 by using eigen value of matrices. Provide a solution family of real functions. x'=4x-10y y'=5x-6y

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Solve the following initial value problem. y(4) − 5y′′′ + 4y′′ = x, y(0) = 0, y′(0) ...

Solve the following initial value problem. y(4) − 5y′′′ + 4y′′ = x, y(0) = 0, y′(0) = 0, y′′(0) = 0, y′′′(0) = 0.

Solve the initial value problem: y''' - 12y'' + 48y' - 72y = 0 ; y(0)...

Solve the initial value problem: y''' - 12y'' + 48y' - 72y = 0 ; y(0) = 1, y'(0) = 0, y''(0) = 0

Solve the initial value problem: y''+2y'+y = x^2 , y(0)=0 , y'(0) = 0

Use Laplace transforms to solve the initial value problem: y''' −y' + t = 0, y(0)...

Use Laplace transforms to solve the initial value problem: y''' −y' + t = 0, y(0) = 0, y'(0) = 0, y''(0) = 0.

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.

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