19.2.1 problem 1

Internal problem ID [3530]
Book : Differential equations and linear algebra, Stephen W. Goode, second edition, 2000
Section : 1.6, page 50
Problem number : 1
Date solved : Monday, January 27, 2025 at 07:40:47 AM
CAS classification : [[_linear, `class A`]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

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

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

✓ Solution by Mathematica

Time used: 0.040 (sec). Leaf size: 15

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

\[ y(x)\to e^x \left (e^x+c_1\right ) \]