The order and degree of the differential equation d 2 y - dx 23-3 dy - dx - x - x -0 are respectively-A- 3 and 2B- 2 and 3C- 2 and 6D- 2 and degree is undefined-

The correct option is B 2 and 3The highest order derivative involved is nbsp;d^2ydx^2 nbsp;and its power is 3 So, order =2 nbsp; and degree =3 ...

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Algebra of Derivatives

The order and...

Question

The order and degree of the differential equation ${(\frac{d^{2} y}{d x^{2}})}^{3} + 3 \frac{d y}{d x} = \sqrt{x}; x > 0$ are _____ respectively.

2

and

6

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3

and

2

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2

and

3

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2

and degree is undefined.

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

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

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

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

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

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