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GATE2019 ME-2: 27

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A diffferential equation is given as $$x^2 \frac{d^2y}{dx^2} – 2x \frac{dy}{dx} +2y =4$$ The solution of the differential equation in terms of arbitrary constants $C_1$ and $C_2$ is

  1. $y=C_1x^2 +C_2 x+2 \\$
  2. $y=\dfrac{C_1}{x^2} +C_2x+2 \\$
  3. $y=C_1x^2+C_2x+4 \\$
  4. $y=\dfrac{C_1}{x^2}+C_2x+4$
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