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TS EAMCET · Maths · Differential Equations

The general solution of the differential equation \(d x=(2 x+3 y-4) d y\) is

  1. A \(2 x+6 y-3 \log |4 x+6 y-5|=c\)
  2. B \(6 y-3 \log |4 x+6 y-5|=c\)
  3. C \(2 x+6 y-8-3 \log |4 x+6 y-5|=c\)
  4. D \(6 x+6 y-3 \log |4 x+6 y-5|=c\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(6 y-3 \log |4 x+6 y-5|=c\)

Step-by-step Solution

Detailed explanation

We have \(\mathrm{dx}=(2 \mathrm{x}+3 \mathrm{y}-4) \mathrm{dy}\)…