1.2 problem 2(b)

Internal problem ID [1924]

Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 2(b).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {y^{\prime }-2 \,{\mathrm e}^{3 x}=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

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

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

Solution by Mathematica

Time used: 0.005 (sec). Leaf size: 17

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

\begin{align*} y(x)\to \frac {2 e^{3 x}}{3}+c_1 \\ \end{align*}