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Show that the substitution = e, y = et converts the equation ² (0²²)+1² (32²) +²(3)+1 (3) = 0 into the equation ²u/as² +²u/ət² = 0.

Show that the substitution = e, y = et converts the equation ² (0²²)+1² (32²) +²(3)+1 (3) = 0 into the equation ²u/as² +²u/ət² = 0.

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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Show that the

ди ди **(n)+» (^*)+-()++(3 = 0 into the equation №²u/as² + №²u/It² = 0. ду2 ду 1. Show that the substitution x = e³, y = et converts the equation x²
Transcribed Image Text:ди ди **(n)+» (^*)+-()++(3 = 0 into the equation №²u/as² + №²u/It² = 0. ду2 ду 1. Show that the substitution x = e³, y = et converts the equation x²
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