\[ y'(x)=\frac {-64 a^3 x^3+48 a^2 x^2 y(x)^2+16 a^2 x^2-12 a x y(x)^4-8 a x y(x)^2+y(x)^6+y(x)^4+1}{y(x)} \] ✓ Mathematica : cpu = 0.300102 (sec), leaf count = 1
\[\{\}\]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x) = (1+y(x)^4-8*a*x*y(x)^2+16*a^2*x^2+y(x)^6-12*y(x)^4*a*x+48*y(x)^2*a^2*x^2-64*a^3*x^3)/y(x),y(x))