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Recall the following equation from homework 3 We know that y₁ = ½, find y2. Therefore y1 t²y" + 4ty' + 2y = 0 Yıʊ" + (2y1 + py1) v' = 0. 1 4 "+ (-1+2)=0 By letting u = v' u' + 2 u = 0 Using separation of variables ln|u| = −2ln|t|+c u = ct-2 and ន || Y₂ = C 12 12 +2

Recall the following equation from homework 3 We know that y₁ = ½, find y2. Therefore y1 t²y" + 4ty' + 2y = 0 Yıʊ" + (2y1 + py1) v' = 0. 1 4 "+ (-1+2)=0 By letting u = v' u' + 2 u = 0 Using separation of variables ln|u| = −2ln|t|+c u = ct-2 and ន || Y₂ = C 12 12 +2

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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Recall the following equation from homework 3 We know that y₁ = ½, find y2. Therefore y1 t²y" + 4ty' + 2y = 0 Yıʊ" + (2y1 + py1) v' = 0. 1 4 "+ (-1+2)=0 By letting u = v' u' + 2 u = 0 Using separation of variables ln|u| = −2ln|t|+c u = ct-2 and ន || Y₂ = C 12 12 +2
Transcribed Image Text:Recall the following equation from homework 3 We know that y₁ = ½, find y2. Therefore y1 t²y" + 4ty' + 2y = 0 Yıʊ" + (2y1 + py1) v' = 0. 1 4 "+ (-1+2)=0 By letting u = v' u' + 2 u = 0 Using separation of variables ln|u| = −2ln|t|+c u = ct-2 and ន || Y₂ = C 12 12 +2
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