Consider the boundary-value problem-xy" - y' + 3y = 2x, 0≤x≤ 1,y(0) = y(1) = 0Let x₁ == 0, X1= 0.4, x₂ = 0.7, x3 = 1 (h¡ are different here). Use the Rayleigh-Ritz method withpiecewise linear basis ; to solve this BVP. I have computed some Q values for you:== 0.3Q2,1 = 0.4,Q4,1 = 0.5,Q5,2 = -0.18Q6,1Q2,2Q4,2 = 1.8333,=Q4,3=5.5-0.15, Q6,2 = 0.24Calculate the missing Q values, namely, Q₁,1, Q3,i, and Q5,1. Then assemble the linear system to find c₁ andC₂ such that p(x) = C₁01 + C₂O2 is an approximated solution to the BVP.

Given:The boundary value problem .Aim:Calculate the missing values.

Answered: Consider the boundary-value problem…

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.CR: Chapter 11 Review

Problem 47CR

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