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Find the general solution of xy' - y = 2y (ln y - ln x).

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Find the general solution, if possible. Otherwise find a relation that defines the solutions implicitly:

xy' - y = 2y (ln y - ln x)

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Solution Summary

This shows how to find the general solution of a differential equation.

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xy' - y = 2y(ln y - ln x)

put, y = vx
y' = dy/dx = v + x dv/dx
hence,
xv + x^2 ...

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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