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SE.1. Suppose the finite-difference boundary value method is to be applied to solve each of the following ODES. Write the equation in most convenient form for application at each interior node, and state the size of the coefficient matrix. a. q't – 3q" = qcos(2t) + 2t² + q; q(2) = 5, q(4) = 7; step size = 0.5 b. w?v" = v\w + 3w – v'w³/2; v(5) = 7.1, v(9) = 3.7; step size = 0.4 %3D %3| %3D

SE.1. Suppose the finite-difference boundary value method is to be applied to solve each of the following ODES. Write the equation in most convenient form for application at each interior node, and state the size of the coefficient matrix. a. q't – 3q" = qcos(2t) + 2t² + q; q(2) = 5, q(4) = 7; step size = 0.5 b. w?v" = v\w + 3w – v'w³/2; v(5) = 7.1, v(9) = 3.7; step size = 0.4 %3D %3| %3D

Advanced Engineering Mathematics
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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SE.1. Suppose the finite-difference boundary value method is to be applied to solve each of the following ODES. Write the equation in most convenient form for application at each interior node, and state the size of the coefficient matrix. a. q't – 3q" = qcos(2t) + 2t? + q; q(2) = 5,q(4) = 7; step size b. w?v" = vw + 3w – v'w³/2, v(5) = 7.1, v(9) = 3.7; step size = 0.4 0.5
Transcribed Image Text:SE.1. Suppose the finite-difference boundary value method is to be applied to solve each of the following ODES. Write the equation in most convenient form for application at each interior node, and state the size of the coefficient matrix. a. q't – 3q" = qcos(2t) + 2t? + q; q(2) = 5,q(4) = 7; step size b. w?v" = vw + 3w – v'w³/2, v(5) = 7.1, v(9) = 3.7; step size = 0.4 0.5
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