58.1.22 problem 22

Internal problem ID [9093]
Book : Second order enumerated odes
Section : section 1
Problem number : 22
Date solved : Monday, January 27, 2025 at 05:37:20 PM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} {y^{\prime \prime }}^{2}+y^{\prime }+y&=0 \end{align*}

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: 0.000 (sec). Leaf size: 0

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

Not solved