1.22 problem 22

Internal problem ID [6655]

Book: Second order enumerated odes
Section: section 1
Problem number: 22.
ODE order: 2.
ODE degree: 2.

CAS Maple gives this as type [[_2nd_order, _missing_x]]

Solve \begin {gather*} \boxed {\left (y^{\prime \prime }\right )^{2}+y^{\prime }+y=0} \end {gather*}

Solution by Maple

dsolve(diff(y(x),x$2)^2+diff(y(x),x)+y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[(y''[x])^2+y'[x]+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved