2.1930   ODE No. 1930

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

$$\{x^{\prime }(t)=y(t)-z(t),y^{\prime }(t)=x(t{)}^2+y(t),z^{\prime }(t)=x(t{)}^2+z(t)\}$$ ✓ Mathematica : cpu = 0.0514825 (sec), leaf count = 308

$$\left\{\{x(t)\to e^{-c_3}(e^{c_3}{c}_1+e^t),y(t)\to c_2(e^{-c_3}(e^{c_3}{c}_1+e^t)-c_1)+(e^{-c_3}(e^{c_3}{c}_1+e^t)-c_1)(-\frac{c_1^2}{e^{-c_3}(e^{c_3}{c}_1+e^t)-c_1}+e^{-c_3}(e^{c_3}{c}_1+e^t)+2c_1\log (e^{-c_3}(e^{c_3}{c}_1+e^t)-c_1)),z(t)\to -e^{-c_3}(e^{c_3}{c}_1+e^t)+c_2(e^{-c_3}(e^{c_3}{c}_1+e^t)-c_1)+(e^{-c_3}(e^{c_3}{c}_1+e^t)-c_1)(-\frac{c_1^2}{e^{-c_3}(e^{c_3}{c}_1+e^t)-c_1}+e^{-c_3}(e^{c_3}{c}_1+e^t)+2c_1\log (e^{-c_3}(e^{c_3}{c}_1+e^t)-c_1))+c_1\}\right\}$$

✓ Maple : cpu = 0.044 (sec), leaf count = 45

$$\{[\{x\left(t\right)=\mathit{\_}\mathit{C}\mathit{2}+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^t\},\{y\left(t\right)=(\int {\left(x\left(t\right)\right)}^2{\mathrm{e}}^{-t}\mathrm{d}t+\mathit{\_}\mathit{C}\mathit{1}){\mathrm{e}}^t\},\{z\left(t\right)=-\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)+y\left(t\right)\}]\}$$