The order of the differential equation d 2 y - dx 23- xy - dy - dx 3 is -A- 1B- 2C- 3D- 4

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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

The degree of the differential equation ${(1 + \frac{d y}{d x})}^{\frac{3}{2}} = \frac{d^{2} y}{d x^{2}}$ is

{(\frac{d^{2} y}{d x^{2}})}^{3} + e^{\frac{d y}{d x}} = 0

(a) 1 (b) 2

(c) 3 (d) not defined

\frac{d^{2} y}{d x^{2}} = \sqrt[3]{1 + (\frac{d y}{d x})^{4}}

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