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WBJEE · Maths · Differential Equations

The solution of \(\frac{d y}{d x}=\frac{y}{x}+\tan \frac{y}{x}\) is

  1. A \(x=c \sin (y / x)\)
  2. B \(x=c \sin (x y)\)
  3. C \(y=c \sin (y / x)\)
  4. D \(x y=c \sin (x / y)\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(x=c \sin (y / x)\)

Step-by-step Solution

Detailed explanation

Hints: \(\frac{d y}{d x}=\frac{y}{x}+\tan \frac{y}{x}\)…