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TS EAMCET · Maths · Differential Equations

The solution of \(\frac{d y}{d x}=\frac{y^2}{x y-x^2}\) is

  1. A \(e^{y / x}=k x\)
  2. B \(e^{y / x}=k y\)
  3. C \(e^{x / y}=k x\)
  4. D \(e^{-y / x}=k y\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(e^{y / x}=k y\)

Step-by-step Solution

Detailed explanation

Given, \(\frac{d y}{d x}=\frac{y^2}{x y-x^2}\) Put \(y=v x\)…