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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
V
=
x
a
x
+
b
y
and
z
is a homogenous function of degree
n
in
x
and
y
prove that
x
=
∂
v
∂
x
+
y
∂
v
∂
y
=
(
a
x
+
b
y
+
n
)
V
.
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