Internal problem ID [2502]
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]]
Solve \begin {gather*} \boxed {y^{\prime }+y-x^{2}-2=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 18
dsolve(diff(y(x),x)+y(x)=x^2+2,y(x), singsol=all)
\[ y \relax (x ) = x^{2}-2 x +4+{\mathrm e}^{-x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.055 (sec). Leaf size: 20
DSolve[y'[x]+y[x]==x^2+2,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to (x-2) x+c_1 e^{-x}+4 \\ \end{align*}