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If sin , then xux + yuy will be equal to:

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Answer (Detailed Solution Below)

Option 1 :
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Detailed Solution

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Explanation:

Given:

 

Now,

u = f(x, y) but it is not homogenous but f(u) is homogenous of degree n

∴ 

f(nu) = 

⇒  f(nu) = n5/2 f(u);

Therefore, homogeneous of degree 5/2;

∴ 

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