dy = V1+y² sin² y; y(0) = 1 У (0) — dx 2
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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Please explain it using direction field.
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Transcribed Image Text:3. Every autonomous first-order differential
dy
dx
= f(y)is separable. Does
equation
this fact help in the solution of the initial-
value problem
dy = V1+y? sin² y: y(0) = } ?
= ;
?
dx
Discuss. Sketch, by hand, a plausible
solution curve of the problem.
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