57.1.5 problem 5

Internal problem ID [8989]
Book : First order enumerated odes
Section : section 1
Problem number : 5
Date solved : Monday, January 27, 2025 at 05:26:36 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 12

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

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

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 16

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

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