Internal
problem
ID
[17716]
Book
:
Differential
equations.
An
introduction
to
modern
methods
and
applications.
James
Brannan,
William
E.
Boyce.
Third
edition.
Wiley
2015
Section
:
Chapter
5.
The
Laplace
transform.
Section
5.2
(Properties
of
the
Laplace
transform).
Problems
at
page
309
Problem
number
:
16
Date
solved
:
Tuesday, January 28, 2025 at 11:01:45 AM
CAS
classification
:
[[_2nd_order, _linear, _nonhomogeneous]]
Using Laplace method With initial conditions
✓ Solution by Maple
Time used: 11.988 (sec). Leaf size: 25
dsolve([diff(y(t),t$2)-2*diff(y(t),t)+2*y(t)=t^2*exp(t)+7,y(0) = 1, D(y)(0) = 1],y(t), singsol=all)
✓ Solution by Mathematica
Time used: 0.360 (sec). Leaf size: 38
DSolve[{D[y[t],{t,2}]-2*D[y[t],t]+2*y[t]==t^2*Exp[t]+7,{y[0]==1,Derivative[1][y][0] == 1}},y[t],t,IncludeSingularSolutions -> True]