Internal
problem
ID
[4573]
Book
:
Differential
equations
for
engineers
by
Wei-Chau
XIE,
Cambridge
Press
2010
Section
:
Chapter
7.
Systems
of
linear
differential
equations.
Problems
at
page
351
Problem
number
:
7.41
Date
solved
:
Tuesday, January 28, 2025 at 02:39:21 PM
CAS
classification
:
system_of_ODEs
✓ Solution by Maple
Time used: 0.059 (sec). Leaf size: 70
dsolve([diff(x__1(t),t)=-x__1(t)+2*x__2(t),diff(x__2(t),t)=-3*x__1(t)+4*x__2(t)+exp(3*t)/(1+exp(2*t))],singsol=all)
✓ Solution by Mathematica
Time used: 0.087 (sec). Leaf size: 100
DSolve[{D[x1[t],t]==-x1[t]+2*x2[t],D[x2[t],t]==-3*x1[t]+4*x2[t]+Exp[3*t]/(1+Exp[2*t])},{x1[t],x2[t]},t,IncludeSingularSolutions -> True]