Internal problem ID [2153]
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 31.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }+y-{\mathrm e}^{-2 x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(diff(y(x),x)+y(x)=exp(-2*x),y(x), singsol=all)
\[ y \relax (x ) = \left (-{\mathrm e}^{-x}+c_{1}\right ) {\mathrm e}^{-x} \]
✓ Solution by Mathematica
Time used: 0.059 (sec). Leaf size: 19
DSolve[y'[x]+y[x]==Exp[-2*x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to e^{-2 x} \left (-1+c_1 e^x\right ) \\ \end{align*}