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Differential Equations
Find the degree of the following differential equation $\bigg(\large\frac{d^2 y}{dx^2}\bigg)^{1/2} =\bigg( \large\frac{dy}{dx}+3\bigg)^{1/3}$
$(a)\;\frac{1}{2} \\ (b)\;2 \\ (c)\;6 \\ (d)\;3 $
jeemain
math
class12
ch9
differential-equations
degree-of-a-differential-equation
q20
easy
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asked
Feb 3, 2014
by
meena.p
retagged
Oct 24, 2014
by
sharmaaparna1
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1 Answer
$\bigg(\large\frac{d^2 y}{dx}\bigg) ^{6/2} =\bigg( \large\frac{dy}{dx} $$+3\bigg)^{6/3}$
$\bigg(\large\frac{d^2 y}{dx}\bigg) ^3 =\bigg( \large\frac{dy}{dx} $$+3\bigg)^2$
Free from radical and fraction
Hence d is the correct answer.
answered
Feb 3, 2014
by
meena.p
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