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UPSC NDA I 2014 Mathematics Paper
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© examsnet.com
Question : 93
Total: 120
What is the general solution of the differential equation
x
d
y
–
y
d
x
=
y
2
where c is an arbitrary constant
[NDA I 2014]
x
=
c
y
y
2
=
c
y
x
+
x
y
−
c
y
=
0
None of the above
Validate
Solution:
x
d
y
−
y
d
x
=
y
2
⇒
x
d
y
−
y
d
x
y
2
=
1
⇒
−
d
(
x
y
)
=
1
⇒
d
(
x
y
)
=
−
1
Integrating both the sides, we get
x
y
=
−
x
+
c
⇒
x
+
x
y
−
c
y
=
0
© examsnet.com
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