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Home  >>  CBSE XII  >>  Math  >>  Differential Equations

The degree of the differential equation $\large\bigg(\frac{d^2y}{dx^2}\bigg)^2+\bigg(\frac{dy}{dx}\bigg)^2$$=x\sin \bigg(\large\frac{dy}{dx}\bigg)$ is:\[(A)\;1\quad(B)\;2\quad(C)\;3\quad(D)\;not\;defined\]

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  • If a differential equation cannot be expressed as a polynomial in differential coefficients, its degree cannot be defined.
$\large\bigg(\frac{d^2y}{dx^2}\bigg)^2+\bigg(\frac{dy}{dx}\bigg)^2$$=x\sin \bigg(\large\frac{dy}{dx}\bigg)$
The above differential equation cannot be expressed as a polynomial in differential coefficients. so its degree is not defined.
The correct option is $D$
answered May 14, 2013 by meena.p
 

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