2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Order of a Differential Equation
If p and q ar...
Question
If p and q are the order and degree of the differential equation
y
d
y
d
x
+
x
3
d
2
y
d
x
2
+
x
y
= cos x, then
(a) p < q
(b) p = q
(c) p > q
(d) none of these
Open in App
Solution
(c) p > q
We have,
y
d
y
d
x
+
x
3
d
2
y
d
x
2
+
x
y
=
cos
x
The
highest
order
derivative
is
d
2
y
d
2
x
and
it
'
s
degree
is
1
So
,
the
order
is
2
and
the
degree
is
1
.
∴
p
=
2
and
q
=
1
Clearly
,
p
>
q
Suggest Corrections
0
Similar questions
Q.
If p and q are order and degree of differential equation
y
2
(
d
2
y
d
x
2
)
2
+
3
x
(
d
y
d
x
)
1
3
+
x
2
y
2
=
s
i
n
x
, then
Q.
If p and q are order and degree of differential equation
y
2
(
d
2
y
d
x
2
)
2
+
3
x
(
d
y
d
x
)
1
3
+
x
2
y
2
=
s
i
n
x
, then
Q.
Solution of the differential equation
d
y
d
x
+
y
x
= sin x is
(a) x (y + cos x) = sin x + C
(b) x (y − cos x) = sin x + C
(c) x (y + cos x) = cos x + C
(d) none of these
Q.
The order and degree of the differential equation
d
2
y
d
x
2
=
s
i
n
(
d
y
d
x
)
+
x
y
are:
Q.
If
p
and
q
are order and degree of differential equation
y
2
(
d
2
y
d
x
2
)
+
3
x
(
d
y
d
x
)
1
3
+
x
2
y
2
=
sin
x
then find
p
+
q
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
Order of a Differential Equation
MATHEMATICS
Watch in App
Explore more
Order of a Differential Equation
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