Determine the solution of the differential equation y"'-6y" + 12y'-8y = 0 %3D y = C,e-2x + C,xe-2x + C3x²e¬2% a. %3D b. y = C,e2x+ C2x²e2x + C3x³e?x %3D y = C,e2x+ C2xe?x+ C3x2e2x с. %3D d. y C,e-2x + Cze2x + C,x²e2x %3D

Q: ven the differential equation (D3 + 9D² + 27D + 27) y = In(2x –- 3). Propose an appropriate…

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Q: Find the General Solution of the given differential equation. Solve (D3 – 5D² +3D +4)y = e2x_

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Q: dy ax + hy +g 4. = 0. dx hx + by + f

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Q: When the constant" c" is eliminated in the relation 2y² + 2xy = cx², Which of the following is the…

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Q: Classification. Determine whether the following differential equations are linear or nonlinear.…

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Q: QI- Find the solution of the following differential equation d?y dy + 2 dx? 4x +y = 0

A: Given a differential equation 4xd²y/dx² + 2dy/dx + y = 0

Q: d³y d²y + 7. dx3 What is the auxiliary equation of the linear differential equation + 13 y = 0 ? dx2…

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Q: e value of the constant a of (x² + 4xy)dx + (ax² + 3y²)dy if the differential equation is exact, is…

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Q: Solve the differential equation y – 5y/" + 6" + 4y/ – 8y = 0. Oy = cer + czxe²" + cze¯* + c4xe O y =…

A: We need to solve the given differential equation. This can be done as follows:

Q: The solution to the differential equation (x²2 -4xy-2y²)dx+(y² -4xy-2x²)dy=0 a. y²(y-6x)+x²(x-6y)=c…

A: To find the solution of the following differential equation. x2-4xy-2y2 dx+y2-4xy-2x2 dy=0

Q: 2xydy + (y- 3x)dx = 0;y(3) = 2 O xy² - x³ = c O x³ - xy² = –15 O x³ - xy² = 15 O x³ - xy² = c

A: Solve intial value problem, by Exact differential equation

Q: (D* + 6D3 + 9D²)y = 0 A. y = c1 + c2x + Cze 3x + C4xe¯3x + C4xe-3x B. y = ce* + c2xe* + c3e3* +…

A: Given DE is (D4+6D3+9D2)y=0.....(1)

Q: Find the solution of the partial differential equation 2 Uxy= -3U %3D

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Q: The complementary function(C.F.) of the differential equation (D – 7)²(D + 5)y = 7x is O (c1 +…

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Q: Be. La ecuación diferencial (4x²y² + 6x y)dx + (5x³y + 8x²)dy = 0 tiene un factor integrante de la…

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Q: Find the differential equation of the following function (x + y – 1)dx + (2x + 2y + 1)dy = 0 a. x +…

A: Given differential equation is  (x+y-1)dx+(2x+2y+1)dy=0

Q: Find the general solution of the linear differential equations. (D* – 4D² ]y= 36 9x3 a. y = C, + C2x…

A: The given differential equation, D4-4D2y=36

Q: 4. (3x – y)2 = 6x + 2y + 23 @ (1,-2) 5. x(x² – y²) = 3 @ (-1,2)

A: 4) (3x-y)2=6x+2y+23, @(1,-2) 5)x(x2-y2)=3, @(-1,2).