Internal problem ID [9494]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 9, system of higher order odes
Problem number: 1915.
ODE order: 1.
ODE degree: 1.
Solve \begin {align*} x^{\prime }\relax (t )&=x \relax (t ) \left (a \left (p x \relax (t )+q y \relax (t )\right )+\alpha \right )\\ y^{\prime }\relax (t )&=y \relax (t ) \left (\beta +b \left (p x \relax (t )+q y \relax (t )\right )\right ) \end {align*}
✗ Solution by Maple
dsolve({diff(x(t),t)=x(t)*(a*(p*x(t)+q*y(t))+alpha),diff(y(t),t)=y(t)*(beta+b*(p*x(t)+q*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]*(a*(p*x[t]+q*y[t])+\[Alpha]),y'[t]==y[t]*(\[Beta]+b*(p*x[t]+q*y[t]))},{x[t],y[t]},t,IncludeSingularSolutions -> True]
Timed out