47.1.27 problem 27

Internal problem ID [7408]
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
Date solved : Monday, January 27, 2025 at 02:53:13 PM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }-y&=2 x -3 \end{align*}

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 13

dsolve(diff(y(x),x)-y(x)=2*x-3,y(x), singsol=all)
 

\[ y = -2 x +1+{\mathrm e}^{x} c_{1} \]

✓ Solution by Mathematica

Time used: 0.083 (sec). Leaf size: 16

DSolve[D[y[x],x]-y[x]==2*x-3,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to -2 x+c_1 e^x+1 \]