Internal problem ID [5171]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.6 Introduction– Linear equations of First Order. Page 41
Problem number: 1(b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }+y-{\mathrm e}^{x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 15
dsolve(diff(y(x),x)+y(x)=exp(x),y(x), singsol=all)
\[ y \relax (x ) = \frac {{\mathrm e}^{x}}{2}+{\mathrm e}^{-x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 21
DSolve[y'[x]+y[x]==Exp[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {e^x}{2}+c_1 e^{-x} \\ \end{align*}