Find the order and degree of the differential equation- d3ydx3 2 - d2ydx2 3 - dydx 4 - y5 - 0-

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Homogeneous Differential Equation

Find the orde...

Question

Find the order and degree of the differential equation:
${(\frac{d^{3} y}{d x^{3}})}^{2} + {(\frac{d^{2} y}{d x^{2}})}^{3} + {(\frac{d y}{d x})}^{4} + y^{5} = 0$ .

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

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

\frac{d^{2} y}{d x^{2}}

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

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