Internal problem ID [5742]
Book: Ordinary differential equations and calculus of variations. Makarets and Reshetnyak. Wold
Scientific. Singapore. 1995
Section: Chapter 1. First order differential equations. Section 1.1 Separable equations problems.
page 7
Problem number: 29.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y+y^{\prime }=1+2 x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)+y(x)=2*x+1,y(x), singsol=all)
\[ y \left (x \right ) = 2 x -1+c_{1} {\mathrm e}^{-x} \]
✓ Solution by Mathematica
Time used: 0.057 (sec). Leaf size: 18
DSolve[y'[x]+y[x]==2*x+1,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 2 x+c_1 e^{-x}-1 \]