74.1.18 problem 25

Internal problem ID [15798]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 25
Date solved : Tuesday, January 28, 2025 at 08:07:36 AM
CAS classification : [[_3rd_order, _missing_x]]

\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 15

dsolve(diff(y(x),x$3)-4*diff(y(x),x$2)=0,y(x), singsol=all)
 

\[ y = c_{1} +c_{2} x +c_{3} {\mathrm e}^{4 x} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 23

DSolve[D[y[x],{x,3}]-4*D[y[x],{x,2}]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {1}{16} c_1 e^{4 x}+c_3 x+c_2 \]