Internal problem ID [6666]
Book: Second order enumerated odes
Section: section 1
Problem number: 33.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+y^{\prime }-x -1=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 18
dsolve(diff(y(x),x$2)+diff(y(x),x)=1+x,y(x), singsol=all)
\[ y \relax (x ) = \frac {x^{2}}{2}-{\mathrm e}^{-x} c_{1}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.075 (sec). Leaf size: 24
DSolve[y''[x]+y'[x]==1+x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x^2}{2}-c_1 e^{-x}+c_2 \\ \end{align*}