10.26   ODE No. 1881

$$\boxed{{\displaystyle \{\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)+\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)+y\left(t\right)=f\left(t\right),\frac{{\mathrm{d}}^2}{\mathrm{d}{t}^2}x\left(t\right)+\frac{{\mathrm{d}}^2}{\mathrm{d}{t}^2}y\left(t\right)+\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)+x\left(t\right)+y\left(t\right)=g\left(t\right)\}}}$$

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

Mathematica: cpu = 0.058507 (sec), leaf count = 44 $$\left\{\{x(t)\to -f^{″}(t)-f^{\prime }(t)-f(t)+g^{\prime }(t)+g(t),y(t)\to f^{″}(t)+f(t)-g^{\prime }(t)\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 48 $$\left\{\{x\left(t\right)=-\frac{\mathrm{d}}{\mathrm{d}t}f\left(t\right)+g\left(t\right)-f\left(t\right)-\frac{{\mathrm{d}}^2}{\mathrm{d}{t}^2}f\left(t\right)+\frac{\mathrm{d}}{\mathrm{d}t}g\left(t\right),y\left(t\right)=f\left(t\right)+\frac{{\mathrm{d}}^2}{\mathrm{d}{t}^2}f\left(t\right)-\frac{\mathrm{d}}{\mathrm{d}t}g\left(t\right)\}\right\}$$