80.1.6 problem 16 (a)

Internal problem ID [18536]
Book : Elementary Differential Equations. By Thornton C. Fry. D Van Nostrand. NY. First Edition (1929)
Section : Chapter 1. section 5. Problems at page 19
Problem number : 16 (a)
Date solved : Tuesday, January 28, 2025 at 11:54:36 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} v^{\prime \prime }&=\left (\frac {1}{v}+{v^{\prime }}^{4}\right )^{{1}/{3}} \end{align*}

✗ Solution by Maple

dsolve(diff(v(u),u$2)=(1/v(u)+diff(v(u),u)^4)^(1/3),v(u), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[v[u],{u,2}]==(1/v[u]+D[v[u],u]^4)^(1/3),v[u],u,IncludeSingularSolutions -> True]
 

Not solved