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Find order and degree ( if defined ) of following differential equation : $ \bigg( \large\frac{d^2y}{dx^2} \bigg)^2$$+\cos \bigg( \large\frac{dy}{dx} \bigg)=0$

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Toolbox:
  • The highest order derivative present in the differential equation represents the order of the equation
  • If the differential equation is not a polynomial equation in its derivatives and so its degree is not defined.
The given equation is $ \bigg( \large\frac{d^2y}{dx^2} \bigg)^2$$+\cos \bigg( \large\frac{dy}{dx} \bigg)=0$
The highest order for the given differential equation is 2
But the degree is not defined,because the given differential equation is not a polynomial equation in its derivatives.
answered Sep 24, 2013 by sreemathi.v
 

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