Internal problem ID [17]
Book: Differential equations and linear algebra, 3rd ed., Edwards and Penney
Section: Section 1.3. Slope fields and solution curves. Page 26
Problem number: 8.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+y=x^{2}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x) = x^2-y(x),y(x), singsol=all)
\[ y \left (x \right ) = x^{2}-2 x +2+{\mathrm e}^{-x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 21
DSolve[y'[x] == x^2-y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2-2 x+c_1 e^{-x}+2 \]