ODE No. 1918

$$\{x^{\prime }(t)=-x(t)y(t{)}^2+x(t)+y(t),y^{\prime }(t)=x(t{)}^{2}y(t)-x(t)-y(t)\}$$ ✗ Mathematica : cpu = 0.380222 (sec), leaf count = 0

DSolve[{Derivative[1][x][t] == x[t] + y[t] - x[t]*y[t]^2, Derivative[1][y][t] == -x[t] - y[t] + x[t]^2*y[t]},{x[t], y[t]},t]
 

, could not solve

DSolve[{Derivative[1][x][t] == x[t] + y[t] - x[t]*y[t]^2, Derivative[1][y][t] == -x[t] - y[t] + x[t]^2*y[t]}, {x[t], y[t]}, t]

✗ Maple : cpu = 0. (sec), leaf count = 0

dsolve({diff(x(t),t) = -x(t)*y(t)^2+x(t)+y(t), diff(y(t),t) = x(t)^2*y(t)-x(t)-y(t)})
 

, result contains DESol or ODESolStruc

$$[\{x\left(t\right)=0\},\{y\left(t\right)=0\}]$$