Internal problem ID [6459]
Book: Own collection of miscellaneous problems
Section: section 3.0
Problem number: 22.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
Solve \begin {gather*} \boxed {\left (x^{2}+1\right ) y^{\prime \prime }+1+\left (y^{\prime }\right )^{2}-x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.078 (sec). Leaf size: 1002
dsolve((1+x^2)*diff(y(x),x$2)+1+diff(y(x),x)^2=x,y(x), singsol=all)
\[ \text {Expression too large to display} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(1+x^2)*y''[x]+1+(y'[x])^2==x,y[x],x,IncludeSingularSolutions -> True]
Not solved