44.1.2 problem 2

Internal problem ID [6877]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Exercises 1.1 at page 12
Problem number : 2
Date solved : Monday, January 27, 2025 at 02:32:11 PM
CAS classification : [NONE]

\begin{align*} x y^{\prime \prime \prime }-{y^{\prime }}^{4}+y&=0 \end{align*}

✗ Solution by Maple

dsolve(x*diff(y(x),x$3)-diff(y(x),x)^4+y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x*D[y[x],{x,3}]-D[y[x],x]^4+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved