Internal problem ID [7321]
Book: First order enumerated odes
Section: section 1
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }=x a} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(diff(y(x),x)=a*x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {a \,x^{2}}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 16
DSolve[y'[x]==a*x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {a x^2}{2}+c_1 \]