The degree of the differential equation d2 y-d x2-3-d y-d x-2-x2log-d2 y-d x2-Pb- CET 2004-

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First Derivative Test for Local Maximum

The degree of...

Question

The degree of the differential equation is

[Pb. CET 2004]

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\frac{d^{2} y}{d x^{2}} + 3 {[\frac{d y}{d x}]}^{2} = x^{2} l o g [\frac{d^{2} y}{d x^{2}}]

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

x^{3} {(\begin{matrix} \frac{d^{2} y}{d x^{2}} \end{matrix})}^{2} + x {(\begin{matrix} \frac{d y}{d x} \end{matrix})}^{4} = 0

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

\frac{d^{2} y}{d x^{2}} - \sqrt{\frac{d y}{d x} - 3} = x

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