Internal problem ID [4987]
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]]
Solve \begin {gather*} \boxed {y^{\prime }-y-2 x +3=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 13
dsolve(diff(y(x),x)-y(x)=2*x-3,y(x), singsol=all)
\[ y \relax (x ) = -2 x +1+c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.065 (sec). Leaf size: 16
DSolve[y'[x]-y[x]==2*x-3,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -2 x+c_1 e^x+1 \\ \end{align*}