Internal problem ID [9513]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 9, system of higher order odes
Problem number: 1934.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\relax (t )&=\frac {x \relax (t )^{2}}{2}-\frac {y \relax (t )}{24}\\ y^{\prime }\relax (t )&=2 x \relax (t ) y \relax (t )-3 z \relax (t )\\ z^{\prime }\relax (t )&=3 z \relax (t ) x \relax (t )-\frac {y \relax (t )^{2}}{6} \end {align*}
✗ Solution by Maple
dsolve({diff(x(t),t)=x(t)^2/2-1/24*y(t),diff(y(t),t)=2*x(t)*y(t)-3*z(t),diff(z(t),t)=3*x(t)*z(t)-1/6*y(t)^2},{x(t), y(t), z(t)}, singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x'[t]==x[t]^2/2-1/24*y[t],y'[t]==2*x[t]*y[t]-3*z[t],z'[t]==3*x[t]*z[t]-1/6*y[t]^2},{x[t],y[t],z[t]},t,IncludeSingularSolutions -> True]
Not solved