find the general solution of y'''-4y''+5y'=e^x

find the general solution of

y'''-4y''+5y'=e^x

Expert Solution

Colby Messinger answered 1 year ago

Find the general solution of the following equations: y′′ −4y′ +4y=0; y′′ −5y′ +6y=0; y′′ −...

Find the general solution of the following equations: y′′ −4y′ +4y=0; y′′ −5y′ +6y=0; y′′ − 2y′ = 0

Find the particular solution to the equation. y''-4y'+5y=(e^(2t))(sec(t))

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Find the general solution of the differential equation y'' + 4y' + 4y = (e-2t/t2)

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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 ) = -...

y''+4y'+4y=2e^{-2x} Find general solution.

Find a general solution of the inhomogeneous equation y′′ + 2y′ + 5y = f(x) for...

Find a general solution of the inhomogeneous equation y′′ + 2y′ + 5y = f(x) for the following cases: (i) f(x) = 1 (ii) f(x) = x2 (iii) f(x) = e−x sin2x (iv) f(x) = e−x (v) sin2x

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Find the general solution of the equations: a) y'' + 6y' +5y = 0 b) 16y"...

Find the general solution of the equations: a) y'' + 6y' +5y = 0 b) 16y" - 8y' + 145y = 0 c) 4y" - 4y' + y = 0

1. Find the general solution to the following ODE: y′′′+ 4y′= sec(2x) 2. Find the solution...

1. Find the general solution to the following ODE: y′′′+ 4y′= sec(2x) 2. Find the solution to the following IVP: 2y′′+ 2y′−2y= 6x2−4x−1 y(0) = −32 y′(0) = 5 3. Verify that y1=x1/2ln(x) is a solution to 4x2y′′+y= 0, and use reduction of order to find a second solution y2. 4. Find the general solutions to the following ODEs: a) y′′′−y′= 0. b) y′′+ 2y′+y= 0. c) y′′−4y′+ 13y= 0.

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