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

Family $Y=Ax+A^3$ of curves will correspond to a differential equation of order \[(A)\;3\quad(B)\;2\quad(C)\;1\;(D)\;not\;defined\]

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  • If the given equation has $n$ arbitary constants, then its differential equation will be of $n^{th}$ order.
Given :$y=Ax+A^3$
This is an equation with only one arbitary constant.
differentiate w.r.t x
$\large\frac{dy}{dx}$$=A+0$
$=>\large\frac{dy}{dx}$$=A\qquad or \qquad \large\frac{dy}{dx}$$-A=0$
This is a linear differential equation .
Hence the differential equation is of order 1
The correct option is $C$
answered May 19, 2013 by meena.p
 

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