Internal problem ID [6570]
Book: First order enumerated odes
Section: section 1
Problem number: 7.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-x a -y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 16
dsolve(diff(y(x),x)=a*x+y(x),y(x), singsol=all)
\[ y \relax (x ) = -a x -a +c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 18
DSolve[y'[x]==a*x+y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -a (x+1)+c_1 e^x \\ \end{align*}