The solution of the differential equation $2 \frac{d y}{d x}-\frac{y}{x}=\frac{y^2}{x^2}$, given that $y=2$…

The solution of the differential equation $2 \frac{d y}{d x}-\frac{y}{x}=\frac{y^2}{x^2}$, given that $y=2$ when $x=1$, is
  1. $2 y=\frac{x}{1+\sqrt{x}}$
  2. $y=\frac{2 x}{2-\sqrt{x}}$
  3. $y=\frac{x}{2(1+\sqrt{x})}$
  4. $y=\frac{2 x}{1+\sqrt{x}}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 2)

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