1.1 problem 2(a)

Internal problem ID [869]

Book: Elementary differential equations with boundary value problems. William F. Trench. Brooks/Cole 2001
Section: Chapter 1, Introduction. Section 1.2 Page 14
Problem number: 2(a).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {y^{\prime }-2 y=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 10

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

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

Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 16

DSolve[y'[x]== y[x],y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^x \\ y(x)\to 0 \\ \end{align*}