Find the solution of y" +10y +25y = 49 e with y(0) 8 and y' (0) = 5.

Q: Let y₁ = xe-* be a solution of the equation y" + 2y' + y = 0. Find the second solution from y₁ by…

A: We know that if y1 be a solution to the second order homogeneous lineardifferential equation…

Q: Solve. y'' – 36y = et The general solution will be 6t 6t y(t) : cje + c2e +

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Q: Find the general solution to y''-1=0

A: y''-1 =0y'' = 1y' = ∫1 dxy' = x + By =∫(x + B) dxy = x22 + Bx + A

Q: Use undetermined coefficients to find the particular solution to y'' - 3y' + 2y = e(-26-24x)

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Q: Solve: y (4) + 18y'' +81y = 0 4, y'(0) y(0) : = = 8, y''(0) = 54, y'''(0) = 0

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Q: Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

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Q: Find the general solution by undetermined coefficients.  y'' + y = 2x2e-x.

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Q: Solve x2yy'' + (xy' - y)2 - 3y2 = 0. Handwriting solution

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Q: Find the solution to the equation y' - y = x2y2

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Q: y' = et ; y(0) = 2 find the general solution

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Q: First, solve the following IVP, y' = (15x + yr1 . 15 , y(0)=1. Then calculate y(12).

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Q: The general solution of y' x2 can be written in the form

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Q: B. Solve y' + = y²x*.

A: the given differential equation is: y'+4yx=y2x3 the differential equation can be written as:…

Q: d'y (3x-5)(2x + +9x=6) Determine the and of y = 7x Solution:

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Q: y"" + 3y'' − 4y = 0. Find y . Please check the equation carefully and then start

A: We have given equation y''''+3y''-4y=0   Auxiliary equation of differential equation is  m4+3m2-4=0…

Q: Find the general solution af the equation, y' = x(1- y).

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Q: How do I find the particular solution yp in the equation above?

A: For particular equation we will crate function for particular integral. Then we solve it by using…

Q: Solve the equation y" + 25y = 75, y(0) = 0, y' (0) = 1.

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Q: The general solution of y' = 10 can be written in the form Y =C D

A: We are solving the given problem by using the method of separation of variable.

Q: Solve for y: y'=7y²², y = 3 when x = 1

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Q: If xy? - y3 = 5, find y'. y' =

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Q: Is (y − 33)2 = 4a(x − h) the solution to the diff. equation (y-33)y''+(y')2 =0

A: soln:Giveny-332=4ax-hdifferential equationy-33y''+y'2=0

Q: Q4- Solve y"- 4y' + 13y 3x.e*

A: Topic:- differential equations

Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: Solve the following IVP. y"'-5y"-22+56=0 y(0)=1 y'(0)=-2 y''(0

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Q: y (4) + 32y"+256y = 0 y(0) = 2, y'(0) = 0, y"(0) = -16, y""(0) = 128

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Q: Use the method of undetermined coefficients to determine the form of a particular solution to the…

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Q: Solve :     x²y"-2x(1+x)y'+2(1+x)y = x3

A: Given: The second order differential equation is x2y''-2xx+1y'+2x+1y=0

Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

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Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution