Write the degree of the differential equation x3- d2ydx2 -2-x- dydx -4 - 0-

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Formation of a Differential Equation from a General Solution

Write the deg...

Question

Write the degree of the differential equation
$x^{3} {(\begin{matrix} \frac{d^{2} y}{d x^{2}} \end{matrix})}^{2} + x {(\begin{matrix} \frac{d y}{d x} \end{matrix})}^{4} = 0$ .

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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}}]

The degree of the differential equation is

[Pb. CET 2004]

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

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

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

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