How to you find the general solution of ylnx−xy'=0?

yrealeq 2022-09-14 Answered
How to you find the general solution of ylnx−xy'=0?
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Answers (1)

allelog5
Answered 2022-09-15 Author has 19 answers
This is a linear homogeneous differential equation. Also is separable. So grouping variables,
y y = log e x x After integration
log e y = 1 2 ( log e x ) 2 + C so
y = C 1 e 1 2 ( log e x ) 2

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