56.1.19 problem 19

Internal problem ID [8731]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 19
Date solved : Monday, January 27, 2025 at 04:45:07 PM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&=\sqrt {1-x^{2}-y^{2}} \end{align*}

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],x]==Sqrt[ 1-x^2-y[x]^2],y[x],x,IncludeSingularSolutions -> True]
 

Not solved