If Solutions of \( \mathrm{y} \frac{\mathrm{d}^{2} y}{\mathrm{dx}}+\left(\frac{\mathrm{dy}}{\mat...

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If Solutions of \( \mathrm{y} \frac{\mathrm{d}^{2} y}{\mathrm{dx}}+\left(\frac{\mathrm{dy}}{\mathrm{dx}}\right)^{2}=\mathrm{x} \) is given by
P \( y^{2}=\frac{x^{3}}{\lambda}+c_{1} x+c_{2} \) then the numerical quantity \( \lambda \) should be equal to.
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