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NDA Math Differential Equation
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© examsnet.com
Question : 54
Total: 70
The order and degree of the differential equation of parabolas having vertex at the origin and focus at (a,0) where
a
>
0
,are respectively
[NDA II 2015]
1,1
2,1
1,2
2,2
Validate
Solution:
The eq. of parabolas having vertex at (0,0) & focus at (a, 0), where (a >0) is:
y
2
=
4
a
x
.....(1)
2
y
.
d
y
d
x
=
4
a
[on differentiating]
On putting the value of (4a) in eq. (1) we get.
2
x
⋅
d
y
d
x
−
y
=
0
in order =1 & degree = 1.
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