\[ 2 y(x)^3 \left (a^2 x^3-b^2 x\right )+3 b y(x)^2+y'(x)=0 \] ✓ Mathematica : cpu = 0.403762 (sec), leaf count = 133
DSolve[3*b*y[x]^2 + 2*(-(b^2*x) + a^2*x^3)*y[x]^3 + Derivative[1][y][x] == 0,y[x],x]
\[\text {Solve}\left [c_1=\sqrt [4]{\left (\frac {b}{a x}-\frac {1}{a x^2 y(x)}\right )^2-1} \left (-\frac {\left (\frac {b}{a x}-\frac {1}{a x^2 y(x)}\right ) \operatorname {Hypergeometric2F1}\left (\frac {1}{2},\frac {3}{4},\frac {3}{2},\left (\frac {b}{a x}-\frac {1}{a x^2 y(x)}\right )^2\right )}{2 \sqrt [4]{1-\left (\frac {b}{a x}-\frac {1}{a x^2 y(x)}\right )^2}}-\frac {a x}{b}\right ),y(x)\right ]\] ✓ Maple : cpu = 0.104 (sec), leaf count = 108
dsolve(diff(y(x),x)+2*(a^2*x^3-b^2*x)*y(x)^3+3*b*y(x)^2 = 0,y(x))
\[c_{1}+\frac {\left (-1+a^{2} \left (\frac {x}{b}+\frac {1}{b^{2} y \left (x \right )-\frac {b}{x}}\right )^{2}\right )^{\frac {1}{4}} a x}{b \left (b x y \left (x \right )-1\right ) \sqrt {a \left (\frac {x}{b}+\frac {1}{b^{2} y \left (x \right )-\frac {b}{x}}\right )}}-\left (\int _{}^{\frac {a \,x^{2} y \left (x \right )}{b x y \left (x \right )-1}}\frac {\left (\textit {\_a}^{2}-1\right )^{\frac {1}{4}}}{\sqrt {\textit {\_a}}}d \textit {\_a} \right ) = 0\]