Internal problem ID [10250]
Internal file name [OUTPUT/9197_Monday_June_06_2022_01_40_16_PM_74860225/index.tex]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 9, system of higher order odes
Problem number: 1928.
ODE order: 1.
ODE degree: 1.
The type(s) of ODE detected by this program : "unknown" Unable to solve or complete the solution.
Unable to parse ODE.
✗ Solution by Maple
dsolve([diff(x(t),t,t)=k*x(t)/(x(t)^2+y(t)^2)^(3/2),diff(y(t),t,t)=k*y(t)/(x(t)^2+y(t)^2)^(3/2)],singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x''[t]==k*x[t]/(x[t]^2+y[t]^2)^(3/2),y''[t]==k*y[t]/(x[t]^2+y[t]^2)^(3/2)},{x[t],y[t]},t,IncludeSingularSolutions -> True]
Not solved