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Byju's Answer
Standard XII
Mathematics
Ordinary Differential Equations
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Question
Find the order of differential equation whose general solution is given by y=(k_1+ k_2)tan(x+k_3)-k_4e^x+k_5 where k_1k_2 k_3k_4 k_5 are arbitrary constants.
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Similar questions
Q.
The order of the differential equation whose general solution is given by
y
=
(
C
1
+
C
2
)
c
o
s
(
x
+
C
3
)
−
C
4
e
x
+
c
5
where
C
1
,
C
2
,
C
3
,
C
4
,
C
5
are arbitrary constants, is:
Q.
The order of the differential equation, whose general solution is
y
=
C
1
e
x
+
C
2
e
2
x
+
C
3
e
3
x
+
C
4
e
x
+
c
5
,where
C
1
,
C
2
,
C
3
,
C
4
,
C
5
are arbitrary constants is
Q.
The differential equation whose general solution is given by,
y
=
(
c
1
c
o
s
(
x
+
c
2
)
)
−
(
c
3
e
(
−
x
+
c
4
)
)
+
(
c
5
s
i
n
x
)
where
c
1
,
c
2
,
c
3
,
c
4
,
c
5
are arbitrary constants, is
Q.
The order of differential equation whose general solution is given by
y
=
(
c
1
+
c
2
)
cos
(
x
+
c
3
)
−
c
4
e
x
+
c
5
.
where
c
1
.
c
2
,
c
3
,
c
4
,
c
5
are arbitrary constants, is :
Q.
Assertion :The order of the differential equation whose general solution is
y
=
c
1
cos
2
x
+
c
2
s
i
n
2
x
+
c
3
e
x
+
c
4
is 2, where
c
1
,
c
2
,
c
3
,
c
4
are arbitrary constants. Reason: Order of a differential equation represents number of independent arbitrary constant in the general solution.
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