DE with Logarithmic Term (Jee Mains) | ExamDuo
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First Order Differential Equations
Medium
DE with Logarithmic Term
If the solution curve
y
=
y
(
x
)
of the differential equation
(
1
+
y
2
)
(
1
+
log
e
x
)
dx
+
x
d
y
=
0
,
x
>
0
passes through the point
(
1
,
1
)
and
y
(
e
)
=
α
−
tan
(
3
2
)
β
+
tan
(
3
2
)
, then
α
+
2
β
is
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