Internal problem ID [5355]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz.
McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS.
Page 9
Problem number: 1(d).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-k y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(diff(y(x),x)=k*y(x),y(x), singsol=all)
\[ y \relax (x ) = c_{1} {\mathrm e}^{k x} \]
✓ Solution by Mathematica
Time used: 0.037 (sec). Leaf size: 18
DSolve[y'[x]==k*y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^{k x} \\ y(x)\to 0 \\ \end{align*}