Internal problem ID [9497]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 9, system of higher order odes
Problem number: 1918.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\relax (t )&=-x \relax (t ) y \relax (t )^{2}+x \relax (t )+y \relax (t )\\ y^{\prime }\relax (t )&=x \relax (t )^{2} y \relax (t )-x \relax (t )-y \relax (t ) \end {align*}
✗ Solution by Maple
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)},{x(t), y(t)}, singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x'[t]==-x[t]*y[t]^2+x[t]+y[t],y'[t]==x[t]^2*y[t]-x[t]-y[t]},{x[t],y[t]},t,IncludeSingularSolutions -> True]
Not solved