1.8 problem 8

Internal problem ID [6299]

Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 8.
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: 0.033 (sec). Leaf size: 16

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

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