Solve the following initial value problem using the undetermined coefficient technique: y'' - 4y = sin(x),...

Solve the following initial value problem using the undetermined coefficient technique:

y'' - 4y = sin(x), y(0) = 4, y'(0) = 3

Expert Solution

Colby Messinger answered 2 years ago

Solve the given initial value problem by undetermined coefficients (annihilator approach). y'' − 4y' + 4y...

Solve the given initial value problem by undetermined coefficients (annihilator approach). y'' − 4y' + 4y = e^4x + xe^−2x y(0) = 1 y'(0) = −1

Solve the given initial-value problem. y'' + 4y' + 4y = (5 + x)e^(−2x) y(0) =...

Solve the given initial-value problem. y'' + 4y' + 4y = (5 + x)e^(−2x) y(0) = 3, y'(0) = 6 Arrived at answer y(x)=3e^{-2x}+12xe^{-2x}+(15/2}x^2e^{-2x}+(5/6)x^3e^{-2x) by using variation of parameters but it was incorrect.

Initial Value Problem. Use Indeterminate Coefficients method for this problem: y'' - 4y = sin(x) where:...

Initial Value Problem. Use Indeterminate Coefficients method for this problem: y'' - 4y = sin(x) where: y(0) = 4 and y'(0) = 8

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'' + 4y' + 4y = 0; y(0) = 1, y'(0)...

Solve the initial value problem: y'' + 4y' + 4y = 0; y(0) = 1, y'(0) = 0. Solve without the Laplace Transform, first, and then with the Laplace Transform.

Solve the initial value problem below using the method of Laplace transforms. y'' - 4y' +...

Solve the initial value problem below using the method of Laplace transforms. y'' - 4y' + 8y = 5e^t y(0) = 1 y'(0) = 3

Solve the given differential equation, by the undetermined coefficient method: y"-4y'+4y=2x-sen2x (Principle of superposition)

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Solve the following initial value problem using the undetermined coefficient technique: y'' - 4y = sin(x),...

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