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  • The degree of the differential equation d^2y^2/dx^2is: A. 1 B. 2 C. 3 D. Not defined

The degree of the differential equation \left(\frac{d^{2} y}{d x^{2}}\right)^2+\left(\frac{d y}{d x}\right)^2=x \sin \frac{d y}{d x} is:
A. 1
B. 2
C. 3
D. Not defined

Answers (1)

Degree of differential equation is defined as the highest integer power of the highest order derivative in the equation.

Here’s the differential equation

\left(\frac{d^{2} y}{d x^{2}}\right)^2+\left(\frac{d y}{d x}\right)^2=x \sin \frac{d y}{d x}

Now for the degree to exit the differential equation must be a polynomial in some differentials.

Differential means  

\frac{d y}{d x} \text { or } \frac{d^{2} y}{d x^{2}} \text { or } \ldots \frac{d^{n} y}{d x^{n}}

The given differential equation is not a polynomial because of the term sin dy/dx and therefore degree of such a differential equation is not defined.

Option D is correct.

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infoexpert22

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