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Differential Equations
The degree and order of differential equation of family of parabolas whose length of latus rectum is fixed and axis is x-axis ,are respectively
$(a)\;(2,3) \\ (b)\;(1,2) \\ (c)\;(2,1) \\ (d)\;(3,2) $
jeemain
math
class12
ch9
differential-equations
degree-of-a-differential-equation
q53
medium
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asked
Feb 5, 2014
by
meena.p
retagged
Oct 25, 2014
by
sharmaaparna1
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1 Answer
equation can be $(y-k)^2 =a(x-h) \quad a=fixed.$
differentiating this we get,
$2(y-k).y'=ax$
$(y-k).y''+y'^2=\large\frac{a}{2}$
$\large\frac{ax}{2y'}.y''+y'^2=\large\frac{a}{2}$
$ax.y''+2y'^3=ay'$
order =2
degree =1
Hence b is the correct answer.
answered
Feb 5, 2014
by
meena.p
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