57.1.3 problem 3

Internal problem ID [8987]
Book : First order enumerated odes
Section : section 1
Problem number : 3
Date solved : Monday, January 27, 2025 at 05:26:34 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 11

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

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

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 15

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

\[ y(x)\to \frac {x^2}{2}+c_1 \]