Internal problem ID [2130]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }+y-4 \,{\mathrm e}^{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(diff(y(x),x)+y(x)=4*exp(x),y(x), singsol=all)
\[ y \relax (x ) = 2 \,{\mathrm e}^{x}+{\mathrm e}^{-x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.044 (sec). Leaf size: 19
DSolve[y'[x]+y[x]==4*Exp[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 2 e^x+c_1 e^{-x} \\ \end{align*}