56.1.7 problem 7

Internal problem ID [8719]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 7
Date solved : Monday, January 27, 2025 at 04:20:27 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (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: 0.003 (sec). Leaf size: 15

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

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