xy" = y' (1 + xy')

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve for the following differential equation completely.

xy" = y' (1 + xy')
Transcribed Image Text:xy" = y' (1 + xy')
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Follow-up Questions
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Follow-up Question

- Why is 1/z (z') equal to du/dx?
- Why did you use that  integrating factor when it is not an exact differential equation? What is your basis?
- How did it become d/dx (ux) = x? Can you elaborate on this?

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