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Home  >>  CBSE XII  >>  Math  >>  Differential Equations
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The order and degree of the differential equation $\large\frac{d^2y}{dx^2}+\bigg(\frac{dy}{dx}\bigg)^{\frac{1}{4}}+x^{\frac{1}{5}}=0$,respectively,are\[(A)\;2\;and\;not\;defined\quad(B)\;2\;and\;2\quad(C)\;2\;and\;3\quad(D)\;3\;and\;3\]

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Toolbox:
  • The highest order of the derivative in a differential equation determines the order of the equation.
  • If the differential equation cannot be expressed as a polynomial in differential coefficients, its degree cannot be determined
$\large\frac{d^2y}{dx^2}+\bigg(\frac{dy}{dx}\bigg)^{\frac{1}{4}}+x^{\frac{1}{5}}$$=0$
Clearly the highest order of the derivative is $2.$Hence the order of the differential equation is $2.$
But since the differential equation cannot be expressed as a polynomial in differential coefficients. Hence its degree is undefined.
Hence the correct option is $A$
answered May 14, 2013 by meena.p
 

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