The orthogonal trajectories of the system of curves \( \left(\frac{...
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The orthogonal trajectories of the system of curves \( \left(\frac{d y}{d x}\right)^{2} \)
P \( =\frac{4}{x} \) are
(a) \( 9(y+c)^{2}=x^{3} \)
(b) \( y+c=\frac{-x^{3 / 2}}{3} \)
(c) \( y+c=\frac{x^{3 / 2}}{3} \)
(d) all of these
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