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

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

\[(A)\;3\qquad (B)\;2\qquad(C)\;1\qquad(D)\;not \; defined\]

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1 Answer

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  • The highest order derivative present in the differential equation determines the order of the equation.The power to which this derivative is raised determines the degree of the equation.
Step 1:
The highest order derivative present in the differential equation is $\large\frac{d^2y}{dx^2}$.Hence its order is 2.
Step 2:
It is not a polynomial equation in its derivatives.So its degree is not defined.
Step 3:
The correct option is $D$.
answered Jul 29, 2013 by sreemathi.v
 

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