The degree of the differential equation d3ydx3-5 d2ydx22-x3log d2ydx2 is-

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Order of a Differential Equation

The degree of...

Question

The degree of the differential equation

$\frac{d^{3} y}{d x^{3}} + 5 {(\frac{d^{2} y}{d x^{2}})}^{2} = x^{3} l o g (\frac{d^{2} y}{d x^{2}})$ is:

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not defined

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

2 {(\frac{d^{2} y}{d x^{2}})}^{2} + \frac{d^{3} y}{d x^{3}} - \frac{d y}{d x} - s i n^{2} y + s i n (\frac{d y}{d x}) = 0

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

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

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

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