Internal problem ID [6664]
Book: Second order enumerated odes
Section: section 1
Problem number: 31.
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 }-1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 14
dsolve(diff(y(x),x$2)+diff(y(x),x)=1,y(x), singsol=all)
\[ y \relax (x ) = -{\mathrm e}^{-x} c_{1}+x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 18
DSolve[y''[x]+y'[x]==1,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x-c_1 e^{-x}+c_2 \\ \end{align*}