2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Algebra of Derivatives
Find order an...
Question
Find order and degree of the following differential equations .
(i)
d
y
d
x
+
y
=
1
d
y
d
x
(ii)
e
[
d
y
d
x
−
d
3
y
d
x
3
]
=
l
n
[
d
5
y
d
x
5
+
1
]
(iii)
[
(
d
y
d
x
)
1
/
3
+
y
]
2
=
d
2
y
d
x
2
Open in App
Solution
(i)
d
y
d
x
+
y
=
1
(
d
y
d
x
)
(
d
y
d
x
)
2
+
y
(
d
y
d
x
)
=
1
Order =
1
,
Degree =
2
(ii)
e
[
d
y
d
x
−
d
3
y
d
x
3
]
=
l
n
[
d
5
y
d
x
5
+
1
]
Order and Degree not defined.
(iii)
(
(
d
y
d
x
)
1
/
3
+
1
)
2
=
d
2
y
d
x
2
Order =
2
,
Degree =
1
Suggest Corrections
1
Similar questions
Q.
The order and degree of :
A)
y
=
1
+
(
d
y
d
x
)
1
+
1
2
!
(
d
y
d
x
)
2
+
1
3
!
(
d
y
d
x
)
3
+
.
.
.
.
.
B)
d
2
y
d
x
2
=
x
l
o
g
(
d
y
d
x
)
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.
Find the order and degree of the following differential equation
d
3
y
d
x
3
+
(
d
2
y
d
x
2
)
3
+
d
y
d
x
=
x
y
Q.
Find the order and degree of the differential equation:
d
2
y
d
x
2
+
y
=
√
1
+
d
y
d
x
.
Q.
The degree of the differential equation
x
=
1
+
(
d
y
d
x
)
+
1
2
!
(
d
y
d
x
)
2
+
1
3
!
(
d
y
d
x
)
3
+
.
.
.
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Algebra of Derivatives
MATHEMATICS
Watch in App
Explore more
Algebra of Derivatives
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app