(a) State Euler's Theorem for homogeneous functions and verify it for…

Question

(a) State Euler's Theorem for homogeneous functions and verify it for the function $u(x,y) = \sqrt{x^2+y^2}$.

(b) If $u = (x-y)z^2 + (y-z)x^2 + (z-x)y^2$, then prove that $\frac{\partial u}{\partial x} + \frac{\partial u}{\partial y} + \frac{\partial u}{\partial z} = 0$.

Related pages

• Partial Differentiation — topic
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