Find the differential equations of the following primitives by eliminating the arbitrary constants. 6. y = Cixe* - Cze -3x

Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: Find a differential equation whose general solution is y = c₁e²t + C₂e-2.

A: Note: Your general solution should be: .The differential equation for this general solution needs to…

Q: 11. (2х — бу + 4)dx + (х — 2у — 3)dy — 0; when x — 1, у %3 1

A:

Q: Solve the given differential equation by undetermined coefficients. begin mathsize 16px style y…

A: The solution is shown below-

Q: y = (c1 + c2t) emt is the general solution of a differential equation with: Group of answer choices…

A: We find y = (c1 + c2t) emt is the general solution of a differential equation.

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: 12. (4х + Зу — 7)dx + (3х — 7у + 4)dy %3D 0; whe х %3D 1,у %3D1

A: Solve for the differential equation (4x+3y-7) dx + (3x-7y+4)dy=0; when x=1,y=1.

Q: Find the differential equation given the general solution: y = cer + Czex + 3x

A:

Q: Find the differential equation whose general solution is y=c1e4t+c2e-5t

A: Find the differential equation of given solution.

Q: 9. (x + x* + 2x²y² + y4)dx +y dy = 0; when x = 1,y = 1

A:

Q: B6. Solve the differential equation: (D3+ D2 + 9D r 9)y = 2e* +e-2x %3D

A: We solve the differentia equation by the theory of constant coefficient

Q: Find the solution of the dy Qoec() +y d'ifferential equation.

A:

Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: 10. (2ху*eУ + 2хуз + у) dх + (x?y*eУ — х?у?— 3х) dy — 0; when x - -1, у — 1

A:

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: (xy + y ln y)dx + (xy + x In x)dy = 0; when x = 1, y = 1

A: 7. The given differential equation is  (xy + y ln(y))  dx + (xy + x ln(x )) dy= 0   ....(1) with…

Q: 6. (y cos x + 2xev)dx + (sin x + x²e° + 2)dy = 0; when x = 0, y = 0

A:

Q: Write the differential equation for each of the curves determined by the given conditions. Find the…

A: Find the Differential equation of each curve.