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NDA Math Differential Equation
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© examsnet.com
Question : 43
Total: 70
What is the general solution of the differential equation
y
d
x
−
(
x
+
2
y
2
)
d
y
=
0
[NDA I 2017]
x
=
y
2
+
c
y
x
=
2
c
y
2
x
=
2
c
y
2
+
c
y
None of the above
Validate
Solution:
y
d
x
=
(
x
+
2
y
2
)
d
y
⇒
d
x
x
y
−
x
y
−
2
y
I
.
F
=
∫
e
−
1
y
d
y
=
−
1
y
⇒
x
y
=
2
y
+
c
⇒
x
=
2
y
2
+
c
y
© examsnet.com
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