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Byju's Answer
Standard X
Mathematics
Finding Solution for Consistent Pair of Linear Equations
dydx= x 2+ x ...
Question
d
y
d
x
=
x
2
+
x
-
1
x
,
x
≠
0
Open in App
Solution
We
have
,
d
y
d
x
=
x
2
+
x
-
1
x
⇒
d
y
=
x
2
+
x
-
1
x
d
x
Integrating
both
sides
,
we
get
⇒
∫
d
y
=
∫
x
2
+
x
-
1
x
d
x
⇒
y
=
x
3
3
+
x
2
2
-
log
x
+
C
Clearly
,
y
=
x
3
3
+
x
2
2
-
log
x
+
C
is
defined
for
all
x
∈
R
except
x
=
0
.
Hence
,
y
=
x
3
3
+
x
2
2
-
log
x
+
C
,
where
x
∈
R
-
0
,
is
the
solution
to
the
given
differential
equation
.
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0
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