y'(x)=\frac{-2 a^{3/2} b x^2 y(x)^2+2 a^{3/2} c y(x)^2+a^{5/2} y(x)^4+\sqrt{a} b^2 x^4-2 \sqrt{a} b c x^2+\sqrt{a} c^2+b x^3}{a x^2 y(x)}