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The differential equation $\large\left(\frac{dx}{dy}\right)^{2}$$+5y^{1/3}=x$ is

\[\](1)of order 2 and degree 1\[\](2)of  order 1 and  degree 2\[\](3)of order 1 and degree 6\[\](4)of order 1 and degree 3

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$( \large\frac{dy}{dx})^2 $$+5y^{1/3} $$=x$
$(\large\frac{dx}{dy} )^2 $$-x =-5y^{1/3}$
order -1
degree -1
Hence 2 is the correct answer.
answered May 21, 2014 by meena.p
 

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