The order and degree of the differential equation - -1 - -dydx -2 -3 - -2 -d-2ydx-2 -2- are respectively- 3- and - 2- 2- and - 2- 2- and - 3- 1- and - 3-

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Order of a Differential Equation

The order and...

Question

The order and degree of the differential equation ${[1 + {(\frac{d y}{d x})}^{2}]}^{3} = ρ^{2} {[\frac{d^{2} y}{d x^{2}}]}^{2}$ are respectively.

3

and

2

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2

and

2

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2

and

3

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1

and

3

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

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

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

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

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