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QUESTION 1. Solve each of the following ODEs. If initial conditions are given, give the unique solution. a) z²y + xy + 4y = 0, z>0 b) z²y"-6y=0, z>0, y(1) = g(1)=5

QUESTION 1. Solve each of the following ODEs. If initial conditions are given, give the unique solution. a) z²y + xy + 4y = 0, z>0 b) z²y"-6y=0, z>0, y(1) = g(1)=5

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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6:14 Back Assg5n QUESTION 1. Solve each of the following ODES. If initial conditions are given, give the unique solution. a) r²y + xy + 4y = 0, z>0 b) z²y"-6y=0, z>0, y(1) = y(1) = 5 c) z²y" +5ry +4y=0, z>0, y(1)=5, (1)=-9
Transcribed Image Text:6:14 Back Assg5n QUESTION 1. Solve each of the following ODES. If initial conditions are given, give the unique solution. a) r²y + xy + 4y = 0, z>0 b) z²y"-6y=0, z>0, y(1) = y(1) = 5 c) z²y" +5ry +4y=0, z>0, y(1)=5, (1)=-9
6:14 Back ₁ Assg5n QUESTION 3. Use Simpson's rule to approximate the value of J to within 0.001 of the true
Transcribed Image Text:6:14 Back ₁ Assg5n QUESTION 3. Use Simpson's rule to approximate the value of J to within 0.001 of the true
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