The degree of the differential equation ( d 2 y d x 2 ) 2 + ( d y d x ) 2 = x sin ( d y d x ) is:

Question

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

Smart Achievers · Accepted Answer

(4)

Ans. not defined

Explanation :

The degree of the above differential equation is not defined because when we expand $\sin (\frac{d y}{d x}),$ we get an infinite series in the increasing powers of $\frac{d y}{d x} .$ Therefore, its degree is not defined.

Solution

Q.
The degree of the differential equation ${(\frac{d^{2} y}{d x^{2}})}^{2} + {(\frac{d y}{d x})}^{2} = x \sin (\frac{d y}{d x})$ is:

1 1

2 2

3 3

4 not defined

Ans.
(4)

Ans. not defined

Explanation :

The degree of the above differential equation is not defined because when we expand $\sin (\frac{d y}{d x}),$ we get an infinite series in the increasing powers of $\frac{d y}{d x} .$ Therefore, its degree is not defined.

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Solution

Q. The degree of the differential equation (d2ydx2)2+(dydx)2=xsin(dydx) is:

1 1

2 2

3 3

4 not defined

Ans. (4) Ans. not defined Explanation : The degree of the above differential equation is not defined because when we expand sin(dydx), we get an infinite series in the increasing powers of dydx. Therefore, its degree is not defined.

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Q.
The degree of the differential equation ${(\frac{d^{2} y}{d x^{2}})}^{2} + {(\frac{d y}{d x})}^{2} = x \sin (\frac{d y}{d x})$ is:

Ans.
(4)

Ans. not defined

Explanation :

The degree of the above differential equation is not defined because when we expand $\sin (\frac{d y}{d x}),$ we get an infinite series in the increasing powers of $\frac{d y}{d x} .$ Therefore, its degree is not defined.