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`]]
\[ \boxed {y^{\prime }-y=1-x} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 10
dsolve(diff(y(x),x) = 1-x+y(x),y(x), singsol=all)
\[ y \left (x \right ) = x +{\mathrm e}^{x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 13
DSolve[y'[x] == 1-x+y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x+c_1 e^x \]