7.4.2 problem 2

Internal problem ID [74]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Section 1.5 (linear equations). Problems at page 54
Problem number : 2
Date solved : Friday, February 07, 2025 at 07:48:20 AM
CAS classification : [[_linear, `class A`]]

\begin{align*} y^{\prime }-2 y&=3 \,{\mathrm e}^{2 x} \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.006 (sec). Leaf size: 11

dsolve([diff(y(x),x)-2* y(x)=3*exp(2*x),y(0) = 0],y(x), singsol=all)
 

\[ y = 3 \,{\mathrm e}^{2 x} x \]

✓ Solution by Mathematica

Time used: 0.044 (sec). Leaf size: 13

DSolve[{D[y[x],x]-2*y[x]==3*Exp[2*x],{y[0]==0}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 3 e^{2 x} x \]