Find the general solution y(t) to the following ODE using ONLY the Variation of Parameters: y"+4y'-2y...

Find the general solution y(t) to the following ODE using ONLY the Variation of Parameters:

y"+4y'-2y = 2x²-3x+6

Expert Solution

milcah answered 2 years ago

Using Variation of Parameters: (Higher Order DE) Find the general solution of y'''− 2y''− y'+ 2y...

Using Variation of Parameters: (Higher Order DE) Find the general solution of y'''− 2y''− y'+ 2y = e^x?

Solve y''-y'-2y=e^t using variation of parameters.

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 y(t) to the following ODE using (a) Method of Undetermined Coefficients AND...

Find the general solution y(t) to the following ODE using (a) Method of Undetermined Coefficients AND (b) Variation of Parameters: 2y"-y'+5y = cos(t) - et Sin(t)

Find a particular solution to y′′+4y′+4y=(e^−2x)/x^4 using variation of parameters yp= ?

Solve y^4-4y"=g(t) using variation of parameters.

Find a general solution to the differential equation using the method of variation of parameters. y''+...

Find a general solution to the differential equation using the method of variation of parameters. y''+ 25y= sec5t The general solution is y(t)= ___ y''+9y= csc^2(3t) The general solution is y(t)= ___

1.Find the general solution of the given differential equation using variation of parameter. y″ − 2y′...

1.Find the general solution of the given differential equation using variation of parameter. y″ − 2y′ + y = et/(1 + t2)

Use variation of parameters to find a general solution to the following differential equations. (a) y′′+y=tant,...

Use variation of parameters to find a general solution to the following differential equations. (a) y′′+y=tant, 0<t<π/2. (b) y′′−2y′+y=et/(1+t2).

Using variation of parameters, find a particular solution of the given differential equations: a.) 2y" +...

Using variation of parameters, find a particular solution of the given differential equations: a.) 2y" + 3y' - 2y = 25e-2t (answer should be: y(t) = 2e-2t (2e5/2 t - 5t - 2) b.) y" - 2y' + 2y = 6 (answer should be: y = 3 + (-3cos(t) + 3sin(t))et ) Please show work!

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