Internal
problem
ID
[2677]
Book
:
Differential
equations
and
their
applications,
4th
ed.,
M.
Braun
Section
:
Chapter
2.
Second
order
differential
equations.
Section
2.9,
The
method
of
Laplace
transform.
Excercises
page
232
Problem
number
:
23
Date
solved
:
Monday, January 27, 2025 at 06:06:17 AM
CAS
classification
:
[[_3rd_order, _with_linear_symmetries]]
Using Laplace method With initial conditions
✓ Solution by Maple
Time used: 0.853 (sec). Leaf size: 27
dsolve([diff(y(t),t$3)-6*diff(y(t),t$2)+11*diff(y(t),t)-6*y(t)=exp(4*t),y(0) = 0, D(y)(0) = 0, (D@@2)(y)(0) = 0],y(t), singsol=all)
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 19
DSolve[{D[y[t],{t,3}]-6*D[y[t],{t,2}]+11*D[y[t],t]-6*y[t]==Exp[4*t],{y[0]==0,Derivative[1][y][0] ==0,Derivative[2][y][0] ==0}},y[t],t,IncludeSingularSolutions -> True]