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Differential Equations
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Differential equation of all parabola with x axis as the axis and 4a as latus rectum .
$(a)\;y \frac{dy}{dx} =2a \\ (b)\;y \frac{dy}{dx} =4a \\ (c)\;x \frac{dy}{dx} =2a \\ (d)\;x \frac{dy}{dx} =4a $
jeemain
math
class12
ch9
differential-equations
linear-differential-equations
q23
easy
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asked
Feb 3, 2014
by
meena.p
retagged
Oct 24, 2014
by
sharmaaparna1
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1 Answer
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The equation of parabola with any horizontal axis of symmetry $y=k$
$(y-k)2=4p (x-h)$
given $k=0$ and $p=a$
$y^2= 4a(x-h)$
$2y \large\frac{dy}{dx} $$=4a$
$y \large\frac{dy}{dx} $$=2a$
Hence a is the correct answer.
answered
Feb 3, 2014
by
meena.p
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