20.3.1 problem Problem 1

Internal problem ID [3610]
Book : Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
Section : Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential Equations. page 59
Problem number : Problem 1
Date solved : Monday, January 27, 2025 at 07:47:35 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }+y&=4 \,{\mathrm e}^{x} \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 15

dsolve(diff(y(x),x)+y(x)=4*exp(x),y(x), singsol=all)
 

\[ y \left (x \right ) = 2 \,{\mathrm e}^{x}+{\mathrm e}^{-x} c_{1} \]

✓ Solution by Mathematica

Time used: 0.041 (sec). Leaf size: 19

DSolve[D[y[x],x]+y[x]==4*Exp[x],y[x],x,IncludeSingularSolutions -> True]
 

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