dy dx 2y (x √y-1), y(0) = 1
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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Question
Solve the following initial value problem by (possibly) using a suitable one
choice of substitution. Also determine the largest possible interval of validity. The problem here is that I cant figure out how to find the choice of substitution, I often see examples where they use y=vx, but somehow that makes the question much harder. So, If able please provide some explanation with the taken steps, especially on the choice of substituion and how you find it for future equations, thank you in advance.
Transcribed Image Text:dy
dx
2y (x √y-1), y(0) = 1
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