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Which one of the following functions is ...

Which one of the following functions is not homogeneous ?

A

f(x,y)=x[log `sqrt(x^2+y^2)`-log y] + `ye^(x/y)`

B

`f(x,y)=x^(1//3) y^(-2//3) tan^(-1) (x/y)`

C

`f(x,y)=x[log sqrt(x^2+y^2)-log y ] + ye^(x/y)`

D

`f(x,f) =x [log ((2x^2-y^2)/x)-log (x+y)] + y^2 tan ((x+2y)/(3x-y))`

Text Solution

Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -EVALUATION TEST
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