The degree of the differential equation - -d-2ydx-2 -3 - -dydx -2 - sin -dydx -2 - sin -dydx - - 1 - 0- is- 3- 2- 1-None of the above

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Order of a Differential Equation

The degree of...

Question

The degree of the differential equation ${(\frac{d^{2} y}{d x^{2}})}^{3} + {(\frac{d y}{d x})}^{2} + sin {(\frac{d y}{d x})}^{2} + sin (\frac{d y}{d x}) + 1 = 0$ is

3

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2

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1

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None of the above

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Solution

The correct option is D None of the above
The given differential equation is not a polynomial equation in $\frac{d y}{d x}$ . Therefore, its degree is not defined.

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Similar questions

The degree of the differential equation

(A) 3 (B) 2 (C) 1 (D) not defined

The degree of the differential equation ${(\frac{d^{2} y}{d x^{2}})}^{3} + {(\frac{d y}{d x})}^{2} + s i n (\frac{d y}{d x}) + 1 = 0$ is
(a) 3
(b) 2
(c) 1
(d) None of these

Q. The degree of the differential equation

{(\frac{d^{2} y}{d x^{2}})}^{3} + {(\frac{d y}{d x})}^{2} + sin (\frac{d y}{d x}) + 1 = 0

3

2

1

D. Not defined

Q. The order and degree of the differential equation

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

are:

Q. Find the order and degree, if defined of the differential equation

{(\begin{matrix} \frac{d^{2} y}{d x^{2}} \end{matrix})}^{3} + {(\begin{matrix} \frac{d y}{d x} \end{matrix})}^{2} + sin \frac{d y}{d x} + 1 = 0

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The degree of the differential equation (d2ydx2)3+(dydx)2+sin(dydx)2+sin(dydx)+1=0 is

The correct option is D None of the aboveThe given differential equation is not a polynomial equation in dydx. Therefore, its degree is not defined.

The degree of the differential equation ${(\frac{d^{2} y}{d x^{2}})}^{3} + {(\frac{d y}{d x})}^{2} + sin {(\frac{d y}{d x})}^{2} + sin (\frac{d y}{d x}) + 1 = 0$ is

The correct option is D None of the above
The given differential equation is not a polynomial equation in $\frac{d y}{d x}$ . Therefore, its degree is not defined.