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class 12
Math
Calculus
Differential Equations
520
150
A curve passes through the point
(
1
,
6
π
)
. Let the slope of the curve at each point
(
x
,
y
)
be
x
y
+
sec
(
x
y
)
,
x
>
0
.
Then the equation of the curve is
520
150
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Similar topics
relations and functions
trigonometric functions
inverse trigonometric functions
application of derivatives
integrals
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Connecting you to a tutor in 60 seconds.
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Get answers to your doubts.
View Similar topics ->
relations and functions
trigonometric functions
inverse trigonometric functions
application of derivatives
integrals
View All ↓
Related Questions
Find the equation of a curve passing through the point (0,2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.
If
y
1
and
y
2
are two solutions to the differential equation
d
x
d
y
+
P
(
x
)
y
=
Q
(
x
)
. Then prove that
y
=
y
1
+
c
(
y
1
−
y
2
)
is the general solutions to the equation where c is any constant.
Write the differential equation obtained by eliminating the arbitrary constant C in the equation representing the family of curves
x
y
=
C
cos
x
˙
Solve:
x
2
(
d
y
/
d
x
)
+
y
=
1
The differential equation of all circles passing through the origin and having their centres on the x-axis is
Solve the following differential equation:
[
x
e
−
2
x
−
x
y
]
d
y
d
x
=
1
,
x
=
0
From the differential equation of the family curves having equation
y
=
(
sin
−
1
x
)
2
+
A
cos
−
1
x
+
B
.
What is the degree of the following differential equation?
5
x
(
d
x
d
y
)
2
−
d
x
2
d
2
y
−
6
y
=
lo
g
x
Related Questions
Find the equation of a curve passing through the point (0,2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.
If
y
1
and
y
2
are two solutions to the differential equation
d
x
d
y
+
P
(
x
)
y
=
Q
(
x
)
. Then prove that
y
=
y
1
+
c
(
y
1
−
y
2
)
is the general solutions to the equation where c is any constant.
Write the differential equation obtained by eliminating the arbitrary constant C in the equation representing the family of curves
x
y
=
C
cos
x
˙
Solve:
x
2
(
d
y
/
d
x
)
+
y
=
1
The differential equation of all circles passing through the origin and having their centres on the x-axis is
Solve the following differential equation:
[
x
e
−
2
x
−
x
y
]
d
y
d
x
=
1
,
x
=
0
From the differential equation of the family curves having equation
y
=
(
sin
−
1
x
)
2
+
A
cos
−
1
x
+
B
.
What is the degree of the following differential equation?
5
x
(
d
x
d
y
)
2
−
d
x
2
d
2
y
−
6
y
=
lo
g
x
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