13.1 problem 1

Internal problem ID [12785]

Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 5. The Laplace Transform Method. Exercises 5.2, page 248
Problem number: 1.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }-y=0} \]

Solution by Maple

Time used: 4.609 (sec). Leaf size: 9

dsolve(diff(y(x),x)-y(x)=0,y(x), singsol=all)
 

\[ y \left (x \right ) = {\mathrm e}^{x} y \left (0\right ) \]

Solution by Mathematica

Time used: 0.033 (sec). Leaf size: 16

DSolve[y'[x]-y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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