Solve the given initial value problem y''+8y'+41y=0; y(0)=3, y'(0)=-8

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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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 of the following Clairaut equation y=((x+4)y')+(y')^2

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

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Q: 2yy" = 1 + (y')² 2

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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: Solve homogenous equation y'''' - 8y''' + 24y'' - 32y' + 16y = 0

A: y''''-8y'''+2y''-32y'+16y=0  operation form   D4y-8D3y+24D2y-32Dy+16y=0  D4-8D3+24D2-32D+16y=0…

Q: Solve X'

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

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

A: Find the attachment

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

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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 THE ODE y''+9y=xexp(3x) + 6

A: Step 1: Step 2:Step 3:Step 4:

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

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Q: 5. Solve the equation xydx + (x + 1)dy = 0. ex = cy(x + 1) yex = c(x + 1) c. y = cex(x + 1) d. ye*(x…

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Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution

Q: solve     y'' - y' - 4y = e6x

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

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