1.7 problem 1(h)

Internal problem ID [6111]

Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS. Page 9
Problem number: 1(h).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_rational]

\[ \boxed {x y^{\prime }+y-y^{\prime } \sqrt {1-y x^{2}}=0} \]

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[x*y'[x]+y[x]==y'[x]*Sqrt[1-x^2*y[x]],y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved