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Form the differential equuations by eliminating arbitary constants given in brackets against each. $xy =c^{2} [$c$]$

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  • If we have an equation $f(x,y,c_1,c_2,....c_n)=u$ Containing n arbitrary constant $c_1,c_2...c_n$, then by differentiating n times, we get $(n+1)$ equations in total. If we eliminate the arbitrary constants $c_1,c_2....c_n,$ we get a D.E of order n
$xy=c^2$
$y+ x \large\frac{dy}{dx}$$=0$
It is the required D.E
answered Sep 3, 2013 by meena.p
 

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