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f x^(2) + y^(2)= 25xy , then prove that ...

f `x^(2) + y^(2)= 25xy` , then prove that 2 log(x + y) = 3log3 + logx + logy.

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Knowledge Check

  • If u=log((x^(2) + y^(2))/(xy)) , then

    A
    u is a homogenous function
    B
    `x(del u)/(del x) + y(del u)/(del y)=0`
    C
    `(x^(2) + y^(2))/(xy)` is a homogenous function
    D
    `(x^(2) + y^(2))/(xy)` is a homogenous function of degree 0.

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