Question

Solution of $\frac{dx}{yz} = \frac{dy}{zx} = \frac{dz}{xy}$ is}

• A. $x^{2} + y^{2} = c_{1}$, $x^{2} - z^{2} = c_{2}$
• B. $x^{2} - y^{2} = c_{1}$, $x^{2} - z^{2} = c_{2}$
• C. $x^{2} - y^{2} = c_{1}$, $x^{2} + z^{2} = c_{2}$
• D. $x^{2} + y^{2} = c_{1}, x^{2} + z^{2} = c_{2}$

Hint:

Try to cancel out common variables between any two ratios to find an integrable pair.

Answer 1

The Correct Option is B