Write the degree of the differential equation x3d2y-dx22-dy-dx4-0

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Degree of a Differential Equations

Write the deg...

Question

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

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

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

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

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

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

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