\[ -a^2+y(x)^2 y'(x)^2+y(x)^2=0 \] ✓ Mathematica : cpu = 0.0265232 (sec), leaf count = 89
\[\left \{\left \{y(x)\to -\sqrt {a^2-\left (c_1+x\right ){}^2}\right \},\left \{y(x)\to \sqrt {a^2-\left (c_1+x\right ){}^2}\right \},\left \{y(x)\to -\sqrt {a^2-\left (x-c_1\right ){}^2}\right \},\left \{y(x)\to \sqrt {a^2-\left (x-c_1\right ){}^2}\right \}\right \}\]
✓ Maple : cpu = 0.098 (sec), leaf count = 54
\[ \left \{ y \left ( x \right ) =a,y \left ( x \right ) =\sqrt {-{{\it \_C1}}^{2}+2\,{\it \_C1}\,x+{a}^{2}-{x}^{2}},y \left ( x \right ) =-a,y \left ( x \right ) =-\sqrt { \left ( a-{\it \_C1}+x \right ) \left ( a+{\it \_C1}-x \right ) } \right \} \]