7.3.10 齐次方程 y(x^2-xy+y^2)dx+x(x^2+xy+y^2)dy=0的通解为() A. xy=Ce^-arctan(y)/(x) B. xy=Ce^arctan(y)/(x)} C. xy=Ce^-arctan(x)/(y) D. xy=Ce^arctan(x)/(y)}

$$ 7.3.10\ \ 齐次方程 $y(x^{2}-xy+y^{2})dx+x(x^{2}+xy+y^{2})dy=0$的通解为() $$

• A. $$ $xy=Ce^{-\arctan\frac{y}{x}}$ $$
• B. $$ $xy=Ce^\arctan\frac{y}{x}}$ $$
• C. $$ $xy=Ce^{-\arctan\frac{x}{y}}$ $$
• D. $$ $xy=Ce^\arctan\frac{x}{y}}$ $$