Internal
problem
ID
[16391]
Book
:
INTRODUCTORY
DIFFERENTIAL
EQUATIONS.
Martha
L.
Abell,
James
P.
Braselton.
Fourth
edition
2014.
ElScAe.
2014
Section
:
Chapter
4.
Higher
Order
Equations.
Exercises
4.5,
page
175
Problem
number
:
42
Date
solved
:
Tuesday, January 28, 2025 at 09:07:26 AM
CAS
classification
:
[[_high_order, _missing_x]]
With initial conditions
✓ Solution by Maple
Time used: 0.023 (sec). Leaf size: 20
dsolve([diff(y(t),t$4)+16*diff(y(t),t$3)=0,y(0) = 0, D(y)(0) = 1, (D@@2)(y)(0) = 0, (D@@3)(y)(0) = 1],y(t), singsol=all)
✓ Solution by Mathematica
Time used: 0.047 (sec). Leaf size: 26
DSolve[{D[y[t],{t,4}]+16*D[ y[t],{t,3}]==0,{y[0]==0,Derivative[1][y][0] ==1,Derivative[2][y][0] ==0,Derivative[3][y][0]==1}},y[t],t,IncludeSingularSolutions -> True]