Internal
problem
ID
[14585]
Book
:
Ordinary
Differential
Equations
by
Charles
E.
Roberts,
Jr.
CRC
Press.
2010
Section
:
Chapter
8.
Linear
Systems
of
First-Order
Differential
Equations.
Exercises
8.3
page
379
Problem
number
:
9
Date
solved
:
Tuesday, January 28, 2025 at 06:43:50 AM
CAS
classification
:
system_of_ODEs
✓ Solution by Maple
Time used: 0.124 (sec). Leaf size: 62
dsolve([diff(y__1(x),x)=4*y__1(x)+6*y__2(x)+6*y__3(x),diff(y__2(x),x)=1*y__1(x)+3*y__2(x)+2*y__3(x),diff(y__3(x),x)=-1*y__1(x)-4*y__2(x)-3*y__3(x)],singsol=all)
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 145
DSolve[{D[ y1[x],x]==4*y1[x]+6*y2[x]+6*y3[x],D[ y2[x],x]==1*y1[x]+3*y2[x]+2*y3[x],D[ y3[x],x]==-1*y1[x]-4*y2[x]-3*y3[x]},{y1[x],y2[x],y3[x]},x,IncludeSingularSolutions -> True]