Answered: Question 1 (Boundary Value Problem –…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Transcribed Image Text:Question 1 (Boundary Value Problem – without differentiation) a) A system is represented by a differential equation y"- xy' +3y = 62x with the boundary conditions y (1) = 1 and y (2) =10. Find the response y from 1 to 2 with an increment h =0,2 b) The radial displacement pressure vessel across the thickness (inner radius a=125mm, outer radius b=200mm) follows a differential equation. d?u 1 du и dr? r dr r2 In a condition of internal pressure, the displacement of inside (r= a) outside (r = b) should be sct as 0.0968275mm and 0.0769240 mm respectively. Illustrate the cross-section of the pressure vessel and the boundary condition of the displacement. Ncxt, illustrate the 1-dimensional model of across the thickness if divided by four nodes with the same distance (four equidistance nodes). Determine the radial displacement profile using the Finite Difference Method.

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