Determine all solutions. y = xy² - √x² + y²7
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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Transcribed Image Text:Determine all solutions
y = xy² = √√x² + y²1
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Follow-up Question
At: let y=ux
I can't follow the dy/dx = u +x(du/dx)
I found u=y/x and took the derivative for du/dx, but I don't come to u+x(du/dx)... plus, doesn't it need to be integrated?
Solution
by Bartleby ExpertFollow-up Question
At: xy'=y+(x^2 +y^2)^1/2 you multiply by 1/x to get the y' = dy/dx...
But wouldn't the right side be:
y/x + sqrt(x^2 + y^2)/x ....... not /x^2 ??
I don't understand the algebra that brings that to x^2
Solution
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