Internal problem ID [3011]
Book: Theory and solutions of Ordinary Differential equations, Donald Greenspan,
1960
Section: Exercises, page 14
Problem number: 1(j).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+y=x^{2}+2} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x)+y(x)=x^2+2,y(x), singsol=all)
\[ y \left (x \right ) = x^{2}-2 x +4+c_{1} {\mathrm e}^{-x} \]
✓ Solution by Mathematica
Time used: 0.068 (sec). Leaf size: 21
DSolve[y'[x]+y[x]==x^2+2,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2-2 x+c_1 e^{-x}+4 \]