11.21   ODE No. 1933

$$\boxed{{\displaystyle \{\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)+\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)=x\left(t\right)y\left(t\right),\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)+\frac{\mathrm{d}}{\mathrm{d}t}z\left(t\right)=x\left(t\right)z\left(t\right),\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)+\frac{\mathrm{d}}{\mathrm{d}t}z\left(t\right)=y\left(t\right)z\left(t\right)\}}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 126.589075 (sec), leaf count = 55 $$\text{DSolve}[\{x^{\prime }(t)+y^{\prime }(t)=x(t)y(t),y^{\prime }(t)+z^{\prime }(t)=y(t)z(t),x^{\prime }(t)+z^{\prime }(t)=x(t)z(t)\},\{x(t),y(t),z(t)\},t]$$

Maple: cpu = 1.529 (sec), leaf count = 17743 $$\text{Too large to display}$$