3. Show that the second order differential equation y" = x + 3y² 2x3 (1) admits a symmetry generated by = xả + yoy Find the solutions of (1) which remain invariant under v.
3. Show that the second order differential equation y" = x + 3y² 2x3 (1) admits a symmetry generated by = xả + yoy Find the solutions of (1) which remain invariant under v.
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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Transcribed Image Text:3. Show that the second order differential equation
y"
=
x
+
3y²
2x3
(1)
admits a symmetry generated by
= xả + yoy
Find the solutions of (1) which remain invariant under v.
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