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Obtain the general solution to the equation. (81-x²) x²y = (9+x)√81-x² dy dx - The general solution is y(x)=, ignoring lost solutions, if any.

Obtain the general solution to the equation. (81-x²) x²y = (9+x)√81-x² dy dx - The general solution is y(x)=, ignoring lost solutions, if any.

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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I'm having trouble finding the same answer. I have attached the solution to this thread. I think some of my radical simplifications are off. If you can kindly show your work escpially while working out P(x) and Q(x). 

Obtain the general solution to the equation. (81-x²) x²y=(9+x)√81-x² dy dx - 1 2 The general solution is y(x) = , ignoring lost solutions, if any.
Transcribed Image Text:Obtain the general solution to the equation. (81-x²) x²y=(9+x)√81-x² dy dx - 1 2 The general solution is y(x) = , ignoring lost solutions, if any.
X - Y(x)= ( 9 + C₂ *&) 9 Therefore, the general solution is y(x) = 9+x 9-x
Transcribed Image Text:X - Y(x)= ( 9 + C₂ *&) 9 Therefore, the general solution is y(x) = 9+x 9-x
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