ODE No. 326

$$y(x)y^{\prime }(x)((ay(x)+bx{)}^3+b{x}^3)+x((ay(x)+bx{)}^3+ay(x{)}^3)=0$$ ✓ Mathematica : cpu = 2.94291 (sec), leaf count = 13289

DSolve[x*(a*y[x]^3 + (b*x + a*y[x])^3) + y[x]*(b*x^3 + (b*x + a*y[x])^3)*Derivative[1][y][x] == 0,y[x],x]
 

$$\text{Too large to display}$$ ✓ Maple : cpu = 0.514 (sec), leaf count = 160

dsolve(y(x)*((a*y(x)+b*x)^3+b*x^3)*diff(y(x),x)+x*((a*y(x)+b*x)^3+a*y(x)^3) = 0,y(x))
 

$$y\left(x\right)=\frac{x(c_{1}x-b\mathrm{RootOf}(b^2{\mathit{\text{\_Z}}}^4-2bx{c}_1{\mathit{\text{\_Z}}}^3+(a^2{x}^2{c}_1^2+b^2{x}^2{c}_1^2+x^2{c}_1^2-a^2){\mathit{\text{\_Z}}}^2-2b{x}^3{c}_1^3\mathit{\text{\_Z}}+x^4{c}_1^4))}{a\mathrm{RootOf}(b^2{\mathit{\text{\_Z}}}^4-2bx{c}_1{\mathit{\text{\_Z}}}^3+(a^2{x}^2{c}_1^2+b^2{x}^2{c}_1^2+x^2{c}_1^2-a^2){\mathit{\text{\_Z}}}^2-2b{x}^3{c}_1^3\mathit{\text{\_Z}}+x^4{c}_1^4)}$$