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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
Given y0=20...
Question
Given
y
(
0
)
=
2000
,
d
y
d
x
=
3200
−
20
y
2
, the value of
lim
x
→
∞
y
(
x
)
is
A
20
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B
40
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C
60
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D
320
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Solution
The correct option is
A
40
Suggest Corrections
0
Similar questions
Q.
The value of
lim
x
→
∞
y(x) obtained from the differential equation
d
y
d
x
=
y
−
y
2
, where y(0) = 2 is
Q.
Let
y
=
y
(
x
)
be the solution of the differential equation
d
y
d
x
=
1
+
x
e
y
−
x
,
−
√
2
<
x
<
√
2
,
y
(
0
)
=
0
, then the minimum value of
y
(
x
)
,
x
∈
(
−
√
2
,
√
2
)
is equal to
Q.
If
y
(
x
)
=
λ
e
2
x
+
e
α
x
,
α
≠
2
is a solution of the differential equation
d
2
y
d
x
2
+
d
y
d
x
−
6
=
0
Satisfying
d
y
d
x
(
0
)
=
5
then y(0) is equal to
Q.
The solution of the initial value problem
d
y
d
x
=
−
2
x
y
;
y
(
0
)
=
2
is
Q.
If the curve
y
=
y
(
x
)
satisfies the differential equation
d
y
d
x
−
2
x
y
1
+
x
2
=
0
and
y
(
0
)
=
1
,
then
y
(
1
)
is equal to
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