The orthogonal trajectories of the system of curves
\( \mathrm{P} \...
The orthogonal trajectories of the system of curves
\( \mathrm{P} \)
\( \left(\frac{d y}{d x}\right)^{2}=\mathrm{a} / \mathrm{x} \) are
(a) \( 9 a(y+c)^{2}=4 x^{3} \)
(b) \( \mathrm{y}+\mathrm{C}=\frac{-2}{3 \sqrt{a}} \mathrm{x}^{3 / 2} \)
(c) \( \mathrm{y}+\mathrm{C}=\frac{2}{3 \sqrt{a}} \mathrm{x}^{3 / 2} \)
(d) none of these
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