SOLUTION: Obtain the general solution dr = b(cosx dr + rsinx dx) ANSWER: r= c(1 - bcosx)

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Question 456138: Obtain the general solution
dr = b(cosx dr + rsinx dx)
ANSWER: r= c(1 - bcosx)
Answer by robertb(4012) About Me  (Show Source):
You can put this solution on YOUR website!
dr = b(cosx dr + rsinx dx)
<==> %281+-+bcosx%29dr+=+brsinx+dx
<==> dr%2Fr+=+%28bsinx+dx%29%2F%281-bcosx%29
<==> dr%2Fr+=+%28d%281+-+bcosx%29%29%2F%281+-+bcosx%29
==> ln r = ln(1 - bcosx) + k, k an arbitrary constant.
<==> r = C(1 - bcosx), after raising e to both sides of the previous equation. (C an arbitrary constant.)