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TN XII Math
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Differential Calculus Applications - II
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Q)
Using Euler's theorem prove the following: if
u
is a homogenous function of
x
and
y
of degree
n
, prove that
x
∂
2
u
∂
x
2
+
y
∂
2
u
∂
x
∂
y
=
(
n
−
1
)
∂
u
∂
x
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