The order and degree of D-E - 1- dy dx 2 - 3-2 -8 d 2 y dx 2 is-

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Order of a Differential Equation

The order and...

Question

The order and degree of D.E ${[1 + {(\frac{d y}{d x})}^{2}]}^{3 / 2} = 8 \frac{d^{2} y}{d x^{2}}$ is:

2,2

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3,2

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3,4

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3,3

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Solution

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Similar questions

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

{[5 + {(\frac{d y}{d x})}^{2}]}^{3 / 2} = 6 \frac{d^{2} y}{d x^{2}}

{(1 + \frac{d y}{d x})}^{2} = 5 {(\frac{d y}{d x})}^{2}

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

y = x \frac{d y}{d x} - \sqrt{1 + {(\frac{d y}{d x})}^{2}}

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