ODE No. 1708

$$ay(x)y^{\prime }(x)-2ay(x{)}^2+by(x{)}^3+y(x)y^{″}(x)-y^{\prime }(x{)}^2=0$$ ✗ Mathematica : cpu = 37.6568 (sec), leaf count = 0

DSolve[-2*a*y[x]^2 + b*y[x]^3 + a*y[x]*Derivative[1][y][x] - Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0,y[x],x]
 

, could not solve

DSolve[-2*a*y[x]^2 + b*y[x]^3 + a*y[x]*Derivative[1][y][x] - Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0

dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+a*y(x)*diff(y(x),x)-2*a*y(x)^2+b*y(x)^3=0,y(x))
 

, result contains DESol or ODESolStruc

$$y\left(x\right)=\mathit{\text{\_a}}\mathbf{where}[\{\left(\frac{d}{d\mathit{\text{\_a}}}\mathrm{\_}\mathrm{b}\left(\mathit{\text{\_a}}\right)\right)\mathit{\text{\_}}b\left(\mathit{\text{\_a}}\right)-\frac{\mathit{\text{\_}}b{\left(\mathit{\text{\_a}}\right)}^2-\mathit{\text{\_a}}\mathit{\text{\_}}b\left(\mathit{\text{\_a}}\right)a-b{\mathit{\text{\_a}}}^3+2{\mathit{\text{\_a}}}^{2}a}{\mathit{\text{\_a}}}=0\},\{\mathit{\text{\_a}}=y\left(x\right),\mathit{\text{\_}}b\left(\mathit{\text{\_a}}\right)=\frac{d}{dx}y\left(x\right)\},\{x=\int \frac{1}{\mathit{\text{\_}}b\left(\mathit{\text{\_a}}\right)}d\mathit{\text{\_a}}+c_1,y\left(x\right)=\mathit{\text{\_a}}\}]$$