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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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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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.
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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