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Question

Identify the statement(s) which is/are True.

A
f(x,y)=ey/x+tanyx is homogeneous of degree zero
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B
x.lnyxdx+y2xsin1yxdy=0 is homogeneous of degree one
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C
f(x,y)=x2+sinx.cosy is not homogeneous
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D
(x2+y2)dx(xy2y3)dy=0 is a homogeneous differential equation.
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Solution

The correct options are
A f(x,y)=ey/x+tanyx is homogeneous of degree zero
C f(x,y)=x2+sinx.cosy is not homogeneous
A. f(x,y)=(ey/x+tanyx) is homogeneous and degree is zero.
B. Homogeneity cannot be establish
D. Same

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