Internal
problem
ID
[17072]
Book
:
A
book
of
problems
in
ordinary
differential
equations.
M.L.
KRASNOV,
A.L.
KISELYOV,
G.I.
MARKARENKO.
MIR,
MOSCOW.
1983
Section
:
Chapter
2
(Higher
order
ODEs).
Section
15.3
Nonhomogeneous
linear
equations
with
constant
coefficients.
Superposition
principle.
Exercises
page
137
Problem
number
:
573
Date
solved
:
Tuesday, January 28, 2025 at 09:49:22 AM
CAS
classification
:
[[_2nd_order, _linear, _nonhomogeneous]]
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 36
dsolve(diff(y(x),x$2)+3*diff(y(x),x)+2*y(x)=6*x*exp(-x)*(1-exp(-x)),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.323 (sec). Leaf size: 62
DSolve[D[y[x],{x,2}]+3*D[y[x],x]+2*y[x]==6*x*Exp[-x]*(1-Exp[-x]),y[x],x,IncludeSingularSolutions -> True]