11.1.5 problem 10

Internal problem ID [1466]
Book : Elementary differential equations and boundary value problems, 11th ed., Boyce, DiPrima, Meade
Section : Chapter 4.1, Higher order linear differential equations. General theory. page 173
Problem number : 10
Date solved : Monday, January 27, 2025 at 04:57:42 AM
CAS classification : [[_3rd_order, _missing_y]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 14

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

\[ y = c_3 \,x^{3}+c_2 x +c_1 \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 21

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

\[ y(x)\to \frac {c_1 x^3}{6}+c_3 x+c_2 \]