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Byju's Answer
Standard XII
Mathematics
Order of a Differential Equation
Find the orde...
Question
Find the order and degree of the differential equation
(
d
y
d
x
)
2
+
d
y
d
x
−
sin
2
y
=
0
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Solution
The order of a differential equation is the order of the highest order derivative present in the equation.
The highest order is of
d
y
d
x
which is
=
1
The degree of a differential equation is the highest power of the highest order derivative in the equation.
The highest power of
d
y
d
x
is 2 hence degree
=
2
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