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26 26.1 Consider a differential equation y' = f(t, y) where • f(t, y) is continuous for all t, y ER; (t, y) is continuous for all t = R,y > 0. y У1 Y₂ Уз Can green y1 and blue y3 be two solutions of the same differential equation above with two different initial conditions? Why? 26.2 Can green y1 and gray y2 be two solutions of the same differential equation above with two different initial conditions? Why? 26.3 Can gray y2 and blue y3 be two solutions of the same differential equation above with two different initial conditions? Why?

26 26.1 Consider a differential equation y' = f(t, y) where • f(t, y) is continuous for all t, y ER; (t, y) is continuous for all t = R,y > 0. y У1 Y₂ Уз Can green y1 and blue y3 be two solutions of the same differential equation above with two different initial conditions? Why? 26.2 Can green y1 and gray y2 be two solutions of the same differential equation above with two different initial conditions? Why? 26.3 Can gray y2 and blue y3 be two solutions of the same differential equation above with two different initial conditions? Why?

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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26 Consider a differential equation y'=f(t, y) where f(t, y) is continuous for all t, y ER; of(t, y) is continuous for all t € R,y > 0. x 26.1 Can green yl and blue y3 be two solutions of the same differential equation above with two different initial conditions? Why? У1 ● Y₂ Уз 26.2 Can green y1 and gray y2 be two solutions of the same differential equation above with two different initial conditions? Why? 26.3 Can gray y2 and blue y3 be two solutions of the same differential equation above with two different initial conditions? Why?
Transcribed Image Text:26 Consider a differential equation y'=f(t, y) where f(t, y) is continuous for all t, y ER; of(t, y) is continuous for all t € R,y > 0. x 26.1 Can green yl and blue y3 be two solutions of the same differential equation above with two different initial conditions? Why? У1 ● Y₂ Уз 26.2 Can green y1 and gray y2 be two solutions of the same differential equation above with two different initial conditions? Why? 26.3 Can gray y2 and blue y3 be two solutions of the same differential equation above with two different initial conditions? Why?
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