Internal problem ID [5169]
Book: An introduction to Ordinary Differential Equations. Earl A. Coddington. Dover. NY
1961
Section: Chapter 1.3 Introduction– Linear equations of First Order. Page 38
Problem number: 5(a).
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: 0.016 (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: 0.038 (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*}