Internal
problem
ID
[11889]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
8,
system
of
first
order
odes
Problem
number
:
1890
Date
solved
:
Monday, January 27, 2025 at 11:44:12 PM
CAS
classification
:
system_of_ODEs
✗ 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)
✗ Solution by Mathematica
Time used: 0.000 (sec). Leaf size: 0
DSolve[{D[x[t],{t,2}]==(3*Cos[a*t+b]^2-1)*c^2*x[t]+3/2*c^2*y[t]*Sin[2*(a*t*b)],D[y[t],{t,2}]==(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