10.25   ODE No. 1880

$$\boxed{{\displaystyle \{t^2(1-\sin \left(t\right))\frac{\mathrm{d}}{\mathrm{d}t}x\left(t\right)=t(1-2\sin \left(t\right))x\left(t\right)+t^{2}y\left(t\right),t^2(1-\sin \left(t\right))\frac{\mathrm{d}}{\mathrm{d}t}y\left(t\right)=(t\cos \left(t\right)-\sin \left(t\right))x\left(t\right)+t(1-t\cos \left(t\right))y\left(t\right)\}}}$$

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

Mathematica: cpu = 0.021503 (sec), leaf count = 79 $$\text{DSolve}[\{t^2(1-\sin (t))x^{\prime }(t)=t^{2}y(t)+tx(t)(1-2\sin (t)),t^2(1-\sin (t))y^{\prime }(t)=x(t)(t\cos (t)-\sin (t))+ty(t)(1-t\cos (t))\},\{x(t),y(t)\},t]$$

Maple: cpu = 0 (sec), leaf count = 0 $$\text{hanged}$$