Internal
problem
ID
[17506]
Book
:
Differential
equations.
An
introduction
to
modern
methods
and
applications.
James
Brannan,
William
E.
Boyce.
Third
edition.
Wiley
2015
Section
:
Chapter
3.
Systems
of
two
first
order
equations.
Section
3.4
(Complex
Eigenvalues).
Problems
at
page
177
Problem
number
:
17
Date
solved
:
Tuesday, January 28, 2025 at 10:39:40 AM
CAS
classification
:
system_of_ODEs
✓ Solution by Maple
Time used: 0.099 (sec). Leaf size: 71
dsolve([diff(x(t),t)=-x(t)+a*y(t),diff(y(t),t)=-x(t)-y(t)],singsol=all)
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 144
DSolve[{D[x[t],t]==-x[t]+a*y[t],D[y[t],t]==-x[t]-y[t]},{x[t],y[t]},t,IncludeSingularSolutions -> True]