Internal problem ID [7407]
Book: Second order enumerated odes
Section: section 1
Problem number: 18.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {y^{\prime \prime }+y^{\prime }=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(x),x$2)+diff(y(x),x)=x,y(x), singsol=all)
\[ y \left (x \right ) = \frac {x^{2}}{2}-{\mathrm e}^{-x} c_{1} -x +c_{2} \]
✓ Solution by Mathematica
Time used: 0.04 (sec). Leaf size: 27
DSolve[y''[x]+y'[x]==x,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x^2}{2}-x-c_1 e^{-x}+c_2 \]