Internal problem ID [10212]
Internal file name [OUTPUT/9159_Monday_June_06_2022_06_45_56_AM_63483699/index.tex]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 8, system of first order odes
Problem number: 1890.
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)=(3*cos(a*t+b)^2-1)*c^2*x(t)+3/2*c^2*y(t)*sin(2*(a*t*b)),diff(y(t),t,t)=(3*sin(a*t+b)^2-1)*c^2*y(t)+3/2*c^2*x(t)*sin(2*(a*t*b))],singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x''[t]==(3*Cos[a*t+b]^2-1)*c^2*x[t]+3/2*c^2*y[t]*Sin[2*(a*t*b)],y''[t]==(3*Sin[a*t+b]^2-1)*c^2*y[t]+3/2*c^2*x[t]*Sin[2*(a*t*b)]},{x[t],y[t]},t,IncludeSingularSolutions -> True]
Not solved