y" +2y' + y = t O y = t-2 O y = 1/2 (t) y = t O y = 2t -1

Q: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

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Q: Differentiate. x4 y: 3 — х3 y' У -

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Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²"

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Q: y" - 7y' + 12y = 0

A: We have to solve  y" - 7y' + 12y = 0 (D2 - 7D + 12)y = 0 The auxiliary equation is

Q: y” – 10y’ + 25y = 30x+3

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Q: y" − 4y = 10

A: The given differential equation is y" − 4y = 10. Its auxiliary equation is m2-4=0. Obtain the roots…

Q: -x2

A: the given differential equation is: xydx+e-x2y2-1dy=0 we have to solve the given differential…

Q: Differentiate y = VIn x 2 Inx +1 A. 2(In x)2 3. Inx-1 3 (In x)2 2 Inx-1 C. 2(In x)2 13 1. D. 3) 2(In…

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Q: y"-9y'+18y=0

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Q: - xy +y= 0 %3D

A: The differential equation is given as y''-xy'+y=0. Let y=∑n=0∞anxn be the solution of the…

Q: ду Find ду and when dz (a) y = 6 + 3x + 16z + 4x2 + 2z2 (b) y = 14x2 (c) y = 9 + 4xz - 3x2 %3D

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Q: y"'-3y"+2y'=t+et

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Q: x+1 If y 2х — уx then y' will be.

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Q: Find y". y = x(3x + 1)* y" =L

A: Given function is  y= x(3x+1)4  We have to find : y".

Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

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Q: What is the order of the equation y" y- (y')³=4?

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Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the…

Q: Calculate y" and y"'. y = x4 − 25x2 + 2x

A: Use the power rule and sum rule and difference rule of derivative:

Q: y"+ y"-4y'- 4y- -3-*-4x-6 =0

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Q: Зу" +y=0.

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Q: Series Solution Method. In each of Problems 1 through 20, solve the given differential equation by…

A: Given y''+5y'+6y=0,   x0=0   To Solve: The differential equation by means of a power series about…

Q: 6. у" — 4y' + 7у %3D0

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