What is the degree of the differential equation d 3 y d x 3 -2 d 2 y d x 2 2 - dy dx -y-0-

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Degree of a Differential Equations

What is the d...

Question

What is the degree of the differential equation $\frac{d^{3} y}{d x^{3}} + 2 {(\frac{d^{2} y}{d x^{2}})}^{2} - \frac{d y}{d x} + y = 0$ ?

6

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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

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

\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}})

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

\frac{d y}{d x} + y = \frac{1}{\frac{d y}{d x}}

_{e} [\frac{d y}{d x} - \frac{d^{3} y}{d x^{3}}] = l n [\frac{d^{5} y}{d x^{5}} + 1]

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

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