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Given the ordinary differential equation a) Show that it is invariant under the GTPL dy 33 dx = F(x). (3) (x + €)y x = x + €, Y = (4) b) Show that only ordinary differential equations of the form dy = F(x,y) dx that are invariant under (4) have the form (3).

Given the ordinary differential equation a) Show that it is invariant under the GTPL dy 33 dx = F(x). (3) (x + €)y x = x + €, Y = (4) b) Show that only ordinary differential equations of the form dy = F(x,y) dx that are invariant under (4) have the form (3).

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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Given the ordinary differential equation a) Show that it is invariant under the GTPL dy 33 dx = F(x). (3) (x + €)y x = x + €, Y = (4) b) Show that only ordinary differential equations of the form dy = F(x,y) dx that are invariant under (4) have the form (3).
Transcribed Image Text:Given the ordinary differential equation a) Show that it is invariant under the GTPL dy 33 dx = F(x). (3) (x + €)y x = x + €, Y = (4) b) Show that only ordinary differential equations of the form dy = F(x,y) dx that are invariant under (4) have the form (3).
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