solve the initial value problem xy' + 3y = 4x ....y(2) = 6

Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

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Q: Solve the equation y''' - y'' - 2y'= 0

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Q: Solve the following equation y" – 64y = 0, y(0) = 1, (0) = 8

A: To solve the given differential equation.

Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: Solve IVP Y'=AY, A= (-3 3 Y(0) = 13 2

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Q: . Solve the initial value problem m^2dC/dm+2mC =2; C(2)=4.

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Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

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Q: Find the general solution y''-y'-2y=0

A: Given the differential equation y''-y'-2y=0. We need to find the general solution of the above…

Q: 1 -3 3 3 -5 3 6 -6 4 1. Consider A = Find the characteristic polynomial of A. Calculate the…

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Q: Solve y'' − 4y' + 4y = 3e2t

A: Solve y'' − 4y' + 4y = 3e2t

Q: Solve for y in two ways. y' - 5y = -3

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Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

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Q: (d) (1+y/2) = (y'')².

A: Given differential equation: 1+y'23=y''2 To find: The general solution

Q: What is the special solution of the equation y0̅ ? y''' + 5y'' + 12y' + 8y =5sin2x +10x2 - 3x + 7

A: Find the attachment

Q: a?u a?u = 4 at? -00 < x < 0 əx² u(x,0) = senx ,–-0 < x < 0 ди (x, 0) = 1, - 0 < x < 0 at

A: Use D'Alembert formula.

Q: 5. Solve 2y" - 3y' - 2y = 0; y(0) = 1, y'(0) = -1.

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Q: How to solve for the equation y''' + 4y'' + 5y' + 2y = 4x + 16 using Undetermined Coefficient…

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Q: What is the solution of the y'''-(y'')3=0 You can find given options at the attachment. Thanks for…

A: Given y'''-(y")3 =0  The given 3rd order nonlinear ordinary differential equation.

Q: 4 Solve for y(x) y"-y-16=0

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Q: 2. Solve y" + 2y' – 3y = 3, y(0) = y'(0) = 1. II %3D %3D

A: given differential equation is linear non homogeneous differential equation with constant…

Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

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Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution

Q: y= (2x)(3x+1), find y' none of these answers O 6x+2 O 12x+2 O 12x+3

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Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0

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

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Q: solve y’’ + y’ – 6y = e2x – 2

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