Internal problem ID [6645]
Book: Second order enumerated odes
Section: section 1
Problem number: 12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 12
dsolve(diff(y(x),x$2)+diff(y(x),x)=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1}+c_{2} {\mathrm e}^{-x} \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 17
DSolve[y''[x]+y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_2-c_1 e^{-x} \\ \end{align*}