The order of the differential equation d 2 y - dx 23- xy - dy - dx 3 is

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Order of a Differential Equation

The order of ...

Question

The order of the differential equation $(\frac{d^{2} y}{d x^{2}})^{3} = x y + (\frac{d y}{d x})^{3}$ is ___

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(\frac{d^{2} y}{d x^{2}})^{3} = x y + (\frac{d y}{d x})^{3}

\frac{d^{3} y}{d x^{3}} + {(\frac{d^{2} y}{d x^{2}})}^{3} + \frac{d y}{d x} = x y

1 + \frac{d y}{d x} - {(\frac{d^{2} y}{d x^{2}})}^{3 / 2} = 0

{(\frac{d y}{d x})}^{3} + 5 x = {(\frac{d^{2} y}{d x^{2}})}^{3 / 2}

{(\frac{d^{2} y}{d x^{2}})}^{5} + 4 \frac{{(\frac{d^{2} y}{d x^{2}})}^{3}}{\frac{d^{3} y}{d x^{3}}} + \frac{d^{3} y}{d x^{3}} = x^{2} - 1

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