The degree and order of the differential equation d y-d x-1-d y-d x1-3 isA- 1 and 3B- 3 and 1C- 1 and 1D- 3 and 3

The correct option is B 3 and 1Given D.E dy/dx = (1 + dy/dx)^1/3 ⇒ nbsp;(dy/dx)^3 = 1 + dy/dx Hence, the degree = 3 and order = 1 ...

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Degree of a Differential Equations

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The degree and order of the differential equation $\frac{d y}{d x} = {(1 + \frac{d y}{d x})}^{\frac{1}{3}}$ is

1

and

3

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3

and

1

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1

and

1

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3

and

3

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

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