Internal problem ID [15]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.3. Slope fields and solution curves. Page 26
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-1+x -y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(x),x) = 1-x+y(x),y(x), singsol=all)
\[ y \relax (x ) = x +{\mathrm e}^{x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.045 (sec). Leaf size: 13
DSolve[y'[x] == 1-x+y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x+c_1 e^x \\ \end{align*}