Internal problem ID [6310]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 19.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-\sqrt {1-x^{2}-y^{2}}=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[y'[x]==Sqrt[ 1-x^2-y[x]^2],y[x],x,IncludeSingularSolutions -> True]
Not solved