Internal problem ID [12]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.3. Slope fields and solution curves. Page 26
Problem number: 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-x -y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x) = x+y(x),y(x), singsol=all)
\[ y \relax (x ) = -x -1+{\mathrm e}^{x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 16
DSolve[y'[x] == x+y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -x+c_1 e^x-1 \\ \end{align*}