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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
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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
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