Internal problem ID [6672]
Book: Second order enumerated odes
Section: section 1
Problem number: 39.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+y-x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve(diff(y(x),x$2)+y(x)=x,y(x), singsol=all)
\[ y \relax (x ) = c_{2} \sin \relax (x )+c_{1} \cos \relax (x )+x \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 17
DSolve[y''[x]+y[x]==x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x+c_1 \cos (x)+c_2 \sin (x) \\ \end{align*}