ExamBro
ExamBro
AP EAMCET · Maths · Differential Equations

The general solution of \(\left(1+e^{\frac{x}{y}}\right) d x+e^{\frac{x}{y}}\left(1-\frac{x}{y}\right) d y=0\) is

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

Answer & Solution

Correct Answer

(D) \(y e^{\frac{x}{y}}+x=c\)

Step-by-step Solution

Detailed explanation

Given,…