y'+(4x^2+2)y=4e^(−x(x+2)),  t>0 Then the general solution to the non-homogeneous equation can be written as y(x)=c1y1(x)+c2y2(x)+yp(x). Use variation of parameters to find yp(x).

Q: y''' -3y'' + 3y' -y = (e^x)(x+1) find the general solutions of this diff eq

A: Given differential equation is y'''−3y''+3y'−y=exx+1 Write the auxiliary equation  m3−3m2+3m−1=0…

Q: Can you help me solve this equation using undetermined coefficients? y'''-y''-9y'+9y=4-e^x+e^3x

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Q: Zy-3z,+5zy -15%3D0

A: The given equation is. zxy-3zx+5zy-15z=0 This a non-homogeneous partial differential equation with…

Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: (x^2)y'' - xy' + y=x*(lnx)^1/2 find the general solution of this diff eq

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Q: Find y'' in y = x2 (x3 - 1)5

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Q: a

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Q: First, use the substitution y₁(x) = e-5x. Y₂(x) = u(x)y₁(x) u(x)e-5x = Then, use the product rule to…

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Q: Consider the following equation (1−2x−x^(2))y''+2(1+x)y′−2y=0

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Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

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Q: y = (x + y – 1)².

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Q: If R'(x)=250-18x and R(0)=0, find R(x)

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Q: x²y' = 4x² + 7xy + 2y²

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Q: x^2y''-2xy'+2y=8x^3; y(1)=8,y'(1)=15 Verify and solve

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Q: Solve xyy'=1+y^2, for y=3 when x=1, or y(1)=3

A: The given differential equation with initial condition is: xyy'=1+y2 where y1=3.…

Q: xy' = 3y + 8x, y(2) = 8. y= ((8x^8/8)+3)x^3

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Q: Solve the IVP y′′ + 2y′ + 5y = 8e^(−t), y(0) = 0, y′(0) = 8

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Q: Zx-16zx+60z=e 5x

A: We can find the auxiliary equation and this easily find the general solution and then using the…

Q: Solve for the general solution: x2y" - xy' - 3y = 0. Oy=c1 x + c2 x^3 Oy=c1 x + c2 x^(-3) Oy=c1…

A: Topic = Differential equation

Q: The solution of the IVP, y' = -2xy, y(0) = 2, is: %3D

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Q: Please show full solution Problem: y'''+3y"+3y+y=x Answer: y=e^(-x)(C1+C2x+C2x²)+x-3

A: We have to find the solution of the differential equation y'''+3y''+3y'+y=x .

Q: 11) Use y = - -az" to solve (3-2²)y" - 3xy' - y = 0. 1=0

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Q: Which of the following is the general solution to the equation (5x 4y 4 +4e 4x-9y -2xy)dx+(4x $y…

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Q: If Ax) = 2x+ 1and g(x) = x, Find g0)) %3D

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Q: Determine the solution of the IVP y’-2y = 2e^(2x) ; y (0) = 1 a. y = e^(2x)*(2x-1) b. y =…

A: Let's find.

Q: Find general solution   y’’ + 2y’+ y = 2e^-t (t)^-2

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Q: Which of the following is the general solution to the equation (2x+9)y" +(2x+7)y-2Y3D0? O a. y=c_1…

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Q: 1−xy)^−2dx+[y^2+x^2(1−xy)^−2]dy=0;y(2)=1

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Q: Find the solution of: y'' - y = 56e^(3t) With y(0) = 9 and y'(0) = 6. y =

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Q: Find the general solution of y''-6y'+9y=4e^(3x) + (e^(3x))/x

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Q: Which of the following is a solution to the DE y" - 9y' + 18y = 0? O y = Ae^(3x) + Be^(-6x) O y =…

A: The objective of the question is determine the solution of the given differential equation and…