6. Solve the IVP. y" - 8y' + 15y = 9te² y(0) = -1, y'(0) = 3 7. 8. Find the general solution of the ODE. x2y" -2y3x2 - 1 x>0 Find the general solution of the ODE. y"+2y-24y: = 12x+9e4x 9. Solve the IVP. y" + 12y" + 36y' = 0 y(0) = 0, y'(0) = 1, y"(0) = -7 1

Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: 2y" --2y' +2y=6+2e¹/2

A:

Q: x2y'' - 7xy' + 2y = x6ex

A: Solve: x2y''-7xy'+2y=x6 ex

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: Solve (1) 5-3x 2. (2) 4. 2 3 y-31 y-5 2 5 (3) 2. 4 4)

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x-2. Use variation of parameters…

A:

Q: 12x5y'' + 8xy + 3y = 6x5 - x

A:

Q: Manuben

A: Please comment down for any doubt. I hope my answer helps you.

Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution

Q: (6) Solve y-9y" + 8y = 0.

A:

Q: Solve y"" + 3y" + 2y' = 0; y(0) = 5, y'(0) = 2, y" (0) = −3.

A:

Q: Solve y(4) - 25y" = 0

A: