Example 4-5-10 - Maple Help



Chapter 4: Partial Differentiation





Example 4.5.10



 If $u=\frac{{x}^{4}+2{x}^{2}{y}^{2}+{y}^{4}-1}{\left({x}^{2}+{y}^{2}+2y+1\right)\left({x}^{2}+{y}^{2}-2y+1\right)}$ and $v=\frac{4xy}{\left({x}^{2}+{y}^{2}+2y+1\right)\left({x}^{2}+{y}^{2}-2y+1\right)}$, show both graphically and analytically that their level curves are mutually orthogonal.