80.1.8 problem 17 (a)

Internal problem ID [18538]
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 : 17 (a)
Date solved : Tuesday, January 28, 2025 at 11:54:42 AM
CAS classification : [NONE]

\begin{align*} \sqrt {y^{\prime }+y}&=\left (y^{\prime \prime }+2 x \right )^{{1}/{4}} \end{align*}

✗ Solution by Maple

dsolve(sqrt(diff(y(x),x)+y(x))= ( diff(y(x),x$2)+2*x)^(1/4),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[Sqrt[D[y[x],x]+y[x]]== (D[y[x],{x,2}]+2*x)^(1/4),y[x],x,IncludeSingularSolutions -> True]
 

Not solved