?Homogeneous Functions A function is called homogeneous of degree if it satisfies the

Chapter 12, Problem 56

(choose chapter or problem)

Homogeneous Functions A function $f$ is called homogeneous of degree $n$ if it satisfies the equation

$f(tx,ty)={t}^{n}f(x,y)$

for all $t$ , where $n$ is a positive integer and $f$ has continuous second-order partial derivatives.

Verify that $f(x,y)={x}^{2}y+2x{y}^{2}+5{y}^{3}$ is homogeneous of degree $3.$

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Login