1.22 problem 22

Internal problem ID [8059]
Book : Second order enumerated odes
Section : section 1
Problem number : 22
Date solved : Monday, October 21, 2024 at 04:45:02 PM
CAS classification : [[_2nd_order, _missing_x]]

Solve

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

Does not support ODE with \({y^{\prime \prime }}^{n}\) where \(n\neq 1\) unless \(1\) is missing which is not the case here.

1.22.1 Maple step by step solution

1.22.2 Maple trace

Methods for second order ODEs:
 

1.22.3 Maple dsolve solution

Solving time : 0.040 (sec)
Leaf size : maple_leaf_size

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

\[ \text {No solution found} \]

1.22.4 Mathematica DSolve solution

Solving time : 0.0 (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