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 ) = - 1, AND f ‘ ( 0 ) = 7.

SOLVE THE SYSTEM USING LAPLACE TRANSFORMS: X’ – X – Y = 1, AND : – X + Y’ – Y = 0, WHEN: X = f ( 0 ) = 0, AND: Y = g ( 0 ) = - ( 5 / 2)

Expert Solution

milcah answered 2 years 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

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

Find the green's function then find the solution y"+4y=x y(0)=0, y'(1)=0

Find the general solution to the DE: y'''+8y''+16y=0 (Hint: Find the auxilary equation first)

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

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

Find the green's function and fine the solution y"+4y=x y(0)=0, y'(1)=0

Find the solution of the given initial value problem. 2y''+y'-4y=0 ; y(0)=0 y'(0)=1

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.

Find the general solution and solve the IVP y''+y'-y=0, y(0)=2, y'(0)=0

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