58.1.9 problem 9

Internal problem ID [9080]
Book : Second order enumerated odes
Section : section 1
Problem number : 9
Date solved : Monday, January 27, 2025 at 05:32:11 PM
CAS classification : [[_2nd_order, _quadrature]]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

dsolve(diff(y(x),x$2)=x,y(x), singsol=all)
 

\[ y = \frac {1}{6} x^{3}+c_{1} x +c_{2} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 19

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

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