Internal problem ID [4240]
Book: Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley.
2006
Section: Chapter 8, Ordinary differential equations. Section 1. Introduction. page 394
Problem number: 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-y=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 8
dsolve(diff(y(x),x)=y(x),y(x), singsol=all)
\[ y \relax (x ) = c_{1} {\mathrm e}^{x} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 20
DSolve[y''[x]==y[x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 e^x+c_2 e^{-x} \\ \end{align*}