The order and degree of the differential equation P- 1- dy dx 2 3-2 d 2 y d x 2 are respectively

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Order of a Differential Equation

The order and...

Question

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

2, 2

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2, 3

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2, 1

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None of these

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Solution

The correct option is C $2, 2$
The given equation when expressed as a polynomial in derivatives is
$P^{2} {\frac{d^{2} y}{d x^{2}}}^{2} = {1 + {(\frac{d y}{d x})}^{2}}^{3}$
clearly, it is a second order differential equation of degree $2$ .

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The order and degree of the differential equation P=(1+(dydx)2)3/2d2ydx2 are respectively

The correct option is C 2,2The given equation when expressed as a polynomial in derivatives isP2{d2ydx2}2={1+(dydx)2}3clearly, it is a second order differential equation of degree 2.

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

The correct option is C $2, 2$
The given equation when expressed as a polynomial in derivatives is
$P^{2} {\frac{d^{2} y}{d x^{2}}}^{2} = {1 + {(\frac{d y}{d x})}^{2}}^{3}$
clearly, it is a second order differential equation of degree $2$ .