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Engineering Mathematics
Homogeneous Linear Differential Equations (General Form of LDE)
If Hx, y is a...
Question
If H(x, y) is a homogeneous function of degree n, then x
∂
H
∂
x
+
y
∂
H
∂
y
=
n
H
.
A
True
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B
False
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Solution
The correct option is
A
True
Euler's theorem : If Z is a homogeneous function of degree 'n' in x and y then
x
∂
Z
∂
x
+
y
∂
Z
∂
y
=
n
⋅
Z
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2
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