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Byju's Answer
Standard XII
Mathematics
Homogeneous Function
The equation ...
Question
The equation of
d
y
d
x
=
y
x
+
t
a
n
(
y
x
)
is:
A
variable separable
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B
Non homogeneous
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C
homogeneous
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D
linear in
x
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Solution
The correct option is
D
homogeneous
y
1
=
(
y
/
x
)
+
t
a
n
(
y
/
x
)
Here the degree in the numerator
=
degree of demominator
∴
homogeneous
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