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  4. A function F(x, y) is said to be homogeneous function of degree n, if for any non-zero constant λ,

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Q. A function $F(x, y)$ is said to be homogeneous function of degree $n$, if for any non-zero constant $\lambda$,

Differential Equations

Solution:

A function $F(x, y)$ is said to be homogeneous function of degree $n$ if $F(\lambda x, \lambda y)=\lambda^n F(x, y)$ for any non-zero constant $\lambda$.