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Home  >>  CBSE XII  >>  Math  >>  Differential Equations
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The order of the differential equation $2x^2\large\frac{d^2y}{dx^2}$$-3\frac{dy}{dx}$$+y=0\;is$

$\begin{array}{1 1}2 \\ 1\\ 0 \\ un\;defined \end{array} $

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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:
In the given problem the highest derivative present is $\large\frac{d^2y}{dx^2}$,hence its order is 2.
Step 2:
It is a polynomial equation in $y''$ and the highest power raised to $\large\frac{d^2y}{dx^2}$ is 1,so the degree is 1.
Step 3:
Hence the order is 2 and degree is 1.The correct option is A.
answered Jul 29, 2013 by sreemathi.v

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