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Question: Answered & Verified by Expert
The solution of the differential equation ydx-xdy=xydx is ….
MathematicsDifferential EquationsMHT CETMHT CET 2019 (Shift 2)
Options:
  • A x2=exy2
  • B x=yex
  • C xy=ex
  • D x2y2=logx
Solution:
1622 Upvotes Verified Answer
The correct answer is: x=yex
We have differential equation ydx-xdy=xydx
⇒ydx-xdyxy=dx
⇒dlogxy=dx
On integrating both sides, we get
log⁡xy=x⇒xy=ex
⇒x=yex

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