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
Related questions
Question
Solve the following initial value problem by (possibly) using a suitable one
choice of substitution. Also determine the largest possible interval of validity. If able please provide some explanation with the taken steps, thank you in advance.

Transcribed Image Text:dy
dx
2y (x √y-1), y(0) = 1
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how do you decide the value of substitution? Are there certain steps or guide you can follow? Regarding the solution, how do you decide that v= 1/(sqrt(y)) is a good substitution?
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Is there perhaps an easier way to approach these questions? Im quite new to
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