GATE XE (Engineering Sciences) 2007 - Question 19

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Section: Engineering Mathematics | Marks: 2

The general solution of $x(z^2 - y^2)\frac{\partial z}{\partial x} + y(x^2 - z^2)\frac{\partial z}{\partial y} = z(y^2 - x^2)$ is

  • A. $F(x^2 + y^2 + z^2, xyz) = 0$
  • B. $F(x^2 + y^2 - z^2, xyz) = 0$
  • C. $F(x^2 - y^2 + z^2, xyz) = 0$
  • D. $F(-x^2 + y^2 + z^2, xyz) = 0$

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