Internal problem ID [5740]
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: 27.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=2 x -3} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(diff(y(x),x)-y(x)=2*x-3,y(x), singsol=all)
\[ y \left (x \right ) = -2 x +1+{\mathrm e}^{x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.073 (sec). Leaf size: 16
DSolve[y'[x]-y[x]==2*x-3,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to -2 x+c_1 e^x+1 \]