Problem 13.2. Calculate the following antiderivatives: (1) S 2r+1 (포2+3)2 I+1 (2) S dr. dr. (포교+2)3 (3) S dr. (12+3)2

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A: Sturm Liouville problem

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A: Given,                   xy'+8y=x6                    ...(1) and                         y(1)=5.

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A: Consider the following

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Q: 2)1 I Solve the boundary-value problem y" + 9y = 0, y(0) = -3 and y(/2) = 3.

A: Given differential equation is y'' + 9y = 0,   y(0) = -3  and  y(π/2) = 3

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A: The given initial value problem is:

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Q: 3 10. S 2x Vx2 – 3x + 1

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Q: 2) Solve the Initial Value Problem. 2y" + 2y'+ y = 0, y(0) = 1, y'(0) = 2

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Q: Problem 4 For x,y,z E R 5x +y Given: 2x - 2y 3x +3y and xyz = -48. Find: S = x+y+z +z = 0 +2z = 0…

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Q: 3. Solve the initial value problem: y" + 5y' + 4y = 0, y(0) = 0, y'(0) = 1

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Q: (i) The solution of the initial value problem y" + 5y/ + 6y = 0, y(0) = 2, y'(0) = 3, %3D decreases…

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Q: Question 7: Evaluate v² dv (Reimann Method)

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Q: Solve the Sturm liouville problem 2. x yu + X y' + (16+x)y = 0 ४ पुल्टी:

A: Answer

Q: Solve the initial value problem. y" = x*, y(1) = 3, y'(1) = 4 y =

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Q: 3. Solve the following initial-value problem 4 + 4 + y = 0, y(0) = 1, y'(0) = 1.

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Q: y'-y=10

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Q: find the unique solution of the second-orderinitial value problem. 12y" + 5y' - 2y = 0, y(0) = 1,…

A: Given- 12y"+5y'-2y=0 and the boundary condition is y0=1 and y'0=-1. To find- The unique solution of…