1) Solve each of the following differential equations. a)16y"-8y'+y=0 b) (d^4y)/(dx^4)-13((d^2y)/(dx^2))+36y=0 2) use Variation of Parameters...

1) Solve each of the following differential equations.

a)16y"-8y'+y=0

b) (d^4y)/(dx^4)-13((d^2y)/(dx^2))+36y=0

2) use Variation of Parameters to solve y"+16y=(1/3)csc4t

3) use undetermined coefficients to solve y"-5y'+4y=3e^(3t)-5e^(2t) with y'(0)=-1 and y(0)=1

4) Explain why the product (A+B)(A-B) not equal A^2-B^2 fro two NXN matrices A and B. what is the product of (A+B)(A-B)?

Expert Solution

Colby Messinger answered 1 year ago

Use the variation of parameters method to solve the differential equation: y''' - 16y' = 2

Solve by variation of parameters. y''+4y =sin(2x) y'''-16y' = 2

Solve the differential equation by variation of parameters. y'' + 3y' + 2y = 1 4...

Solve the differential equation by variation of parameters. y'' + 3y' + 2y = 1 4 + ex y(x) =

Solve the differential equation by variation of parameters. 2y'' + y' = 6x

Question : y''=4y'+8y=0 , (y''-4y'+13y)^2=0 , (y''+2y'+2y)^2=0 , y''-6y'+13y=0,y(0)=3 , y'(0)=13 , 2y''-6y'+17y=0,y(0)=2, y'(0)=13

Solve the following problems by using the Variation of Parameters y′′− 8y′+ 16y = e^4x ln(x)

Differential Equations 22. Solve each of the following systems of equations. (c) (D-2)x=0; -3x+(D+2)y=0; -2y+(D-3)z=0 I...

Differential Equations 22. Solve each of the following systems of equations. (c) (D-2)x=0; -3x+(D+2)y=0; -2y+(D-3)z=0 I got x=c1e2t, y= 3/4 C1e2t + C2e-2t by using diffieq method d/dx(ye2t) = 3C1e2t....., but the right answer is x=4c1e2t, y= 3C1e2t + 5C2e-2t , z= -6C1e2t -2C2e-2t+C3e3t I want to know where 4 came from, and please do not use matrix system.

Question

1) Solve each of the following differential equations. a)16y"-8y'+y=0 b) (d^4y)/(dx^4)-13((d^2y)/(dx^2))+36y=0 2) use Variation of Parameters...

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