16.1.2 problem 2(b)

Internal problem ID [3404]
Book : Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section : Exercis 2, page 5
Problem number : 2(b)
Date solved : Monday, January 27, 2025 at 07:35:50 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 12

dsolve(diff(y(x),x)=2*exp(3*x),y(x), singsol=all)
 

\[ y \left (x \right ) = \frac {2 \,{\mathrm e}^{3 x}}{3}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 17

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

\[ y(x)\to \frac {2 e^{3 x}}{3}+c_1 \]