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NDA Math Differential Equation
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© examsnet.com
Question : 35
Total: 70
The order and degree of the differential equation
y
2
=
4
a
(
x
−
a
)
, where ‘a’ is an arbitrary constant, are respectively
[NDA I 2018]
1
,
2
2
,
1
2
,
2
1
,
1
Validate
Solution:
y
2
=
4
a
(
x
−
a
)
.
.
.
(
1
)
Order = 1.
Differentiating, both sides, we get
2
y
d
y
d
x
=
4
a
⇒
(
y
2
)
d
y
d
x
=
a
Puttingin(1),we
y
2
=
4
(
y
2
)
(
d
y
d
x
)
(
x
−
y
2
d
y
d
x
)
⇒
y
2
=
2
y
d
y
d
x
(
x
−
y
2
d
y
d
x
)
⇒
y
2
=
2
x
y
d
y
d
x
−
y
2
(
d
y
d
x
)
2
Degree 2.
© examsnet.com
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