Internal problem ID [9484]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 8, system of first order odes
Problem number: 1905.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\relax (t )&=h \relax (t ) y \relax (t )-g \relax (t ) z \relax (t )\\ y^{\prime }\relax (t )&=f \relax (t ) z \relax (t )-h \relax (t ) x \relax (t )\\ z^{\prime }\relax (t )&=x \relax (t ) g \relax (t )-y \relax (t ) f \relax (t ) \end {align*}
✗ Solution by Maple
dsolve({diff(x(t),t)=h(t)*y(t)-g(t)*z(t),diff(y(t),t)=f(t)*z(t)-h(t)*x(t),diff(z(t),t)=g(t)*x(t)-f(t)*y(t)},{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]==h[t]*y[t]-g[t]*z[t],y'[t]==f[t]*z[t]-h[t]*x[t],z'[t]==g[t]*x[t]-f[t]*y[t]},{x[t],y[t],z[t]},t,IncludeSingularSolutions -> True]
Not solved