2.233   ODE No. 233

\[ a x^3 \cos (x)+x y(x) y'(x)-y(x)^2=0 \] Mathematica : cpu = 0.148438 (sec), leaf count = 38


\[\left \{\left \{y(x)\to -x \sqrt {-2 a \sin (x)+c_1}\right \},\left \{y(x)\to x \sqrt {-2 a \sin (x)+c_1}\right \}\right \}\] Maple : cpu = 0.032 (sec), leaf count = 30


\[y \relax (x ) = \sqrt {-2 a \sin \relax (x )+c_{1}}\, x\]