12.1.1 problem 2(a)

Internal problem ID [1519]
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)
Date solved : Monday, January 27, 2025 at 04:58:42 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=2 y \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

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

\[ y = c_1 \,{\mathrm e}^{2 x} \]

✓ Solution by Mathematica

Time used: 0.021 (sec). Leaf size: 16

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

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