5. Solve the following Fredholm integral equation of the second kind by method. (2 ¹1 decomposition 9 u(x) + [ == x² + 10 x²t²u(t)dt

Q: Reduce the following Volterra integral equation to an equivalent initial value Problem (IVP) and…

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Q: 1.Solve the following integrals: 1 = V36x dx 12 = " Sin (x)dx dx 13 = dx/x dx 14 = Si 1) 15 =f, 2 •…

A: This is multipart 1uestion having 5 x 4 = 20 subparts. As per company policy, we will solve the…

Q: S use the successive approximations method to Solve the following volterra integral equations: 4.…

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Q: Find the indefinite integral. S+ ²√³+√A 1² +4√ ₁²³ +7√/₁4 Sive dt = dt +² (Use C as the arbitrary…

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Q: Combine the regularization method with any other method to solve the.Fredholm integral equations of…

A: Solution:Solve the Fredholm Integral Equationf(x) = ∫0πcos(x-t) u(t) dtHowever, in light of the…

Q: Prove the following statements using direct and indirect proof methods. a.) For all integers a, b,…

A: a.) For all integers a, b, c, the product (a−b)(a−c)(b−c) is even. The differences of any two even…

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Q: use the noise terms phenomenon to solve the following Fredholm integral equations !- = x (1 + √5/2²…

A: As per the question we are given a Fredholm integral equation in u(t) And we have to solve 8t using…

Q: solve the following Volterra integral equations by using the Ado- min decomposition method:

A: The Volterra integral equation given is as follows: ux=1+x2-∫0xx-t+12utdt Using the Adomian…

Q: 13 u(x) = 1 xtu(t)dt. %3D -x 3

A: The  Fredholm integral equation given as: u(x)=13x3-14∫01xtu(t)dt Here use approximation method to…

Q: 5. Solve the following Fredholm integral equation c decomposition method. (3 marks) 9 1 zx²t²u(t)dt…

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Q: Solve the following differential reducible to exact (y² + xy³)dx + (5y2 - xy + y³siny)dy = 0

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Q: For the homogenous Fredholm integral )=2je(t) dt. equation $(x)=2[et solution exists, when i has the…

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Q: Given [*₂h(t)dt = -5 h(t)dt = 22 and evaluate the following integral. ["h(t)dt = | [h(t)}dt h(t)dt =…

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Q: b) Check whether the sequence (5,5,4,4,3,3,3, 1,1, 1) is graphic or not. If it is graphic, draw a…

A: Given the sequence (5,5,4,4,3,3,3,1,1,1) We need to check whether it is graphical or not. If its…

Q: Use

A: We use exponential shift theorem.

Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: = u(x) = x cosh x -√² - tu(t)dt

A: As per the question we are given a Volterra integral equation and we have to find its solution u(x)…

Q: 2 1 Lotes So I+ y² xyer² 0 1+ 0 Evaluate Select one: ○ In 2 O ln 2 O 1/4 ○ In 2 O 1/2 O 1 -dydx.…

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Q: (1) Explain in words why each of the following integrals is improper. (a) √₂0t7e-² dt. (b) f/2 sect…

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Q: ÔM In the differential equation (y² – x² – 4x–1dy+2y(x+y+2)dx= 0, ду

A: COMPARE THIS EQUATION TO STANDARD DIFFRENTIAL EQUATION.

Q: 1.1 Determine the following particular integrals: 3 1.1.1 2х D³ -8 1 Ka² – 3)e* } 1.1.2 D² – 2D +3

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Give nonlinear equation:

A: Given,             sinx=cotx and x0=1, and x1=0.5

Q: 1. Perform the required integrations to get the result in the notes e2t dr et dr že [00 (tt) Bu(t)dt…

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Q: Convert the following Integral equations into Differential Equations: (3) y(x) = x² – 3x +4 – 3 5 (x…

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Q: 1. Evaluate the following integrals |(1 - 2)Vī dx 13 (ii) (2 – t4)d' (iii) 24 – 523 + 6x² – 18 da a3…

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Q: Solve the attached integral problem

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