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(c) Show that if f is differentiable and W is a function, then every solution g to 1 - l'g =w is of the form WOat. (1) Hence, given a single solution f, you can find all solutions g to the original equation y" + a(t)y' + b(t)y =0 using (1).

(c) Show that if f is differentiable and W is a function, then every solution g to 1 - l'g =w is of the form WOat. (1) Hence, given a single solution f, you can find all solutions g to the original equation y" + a(t)y' + b(t)y =0 using (1).

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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(c) Show that if f is differentiable and W is a function, then every solution g to fd - S'g = w is of the form W (t) dt. (1) Hence, given a single solution f, you can find all solutions g to the original equation y" + a(t)y' + b(t)y = 0 using (1).
Transcribed Image Text:(c) Show that if f is differentiable and W is a function, then every solution g to fd - S'g = w is of the form W (t) dt. (1) Hence, given a single solution f, you can find all solutions g to the original equation y" + a(t)y' + b(t)y = 0 using (1).
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