\[ e^{2 x} \left (a y(x)^4+b\right )+e^x y(x) \left (c y(x)^2+d\right )+y(x) y''(x)-y'(x)^2=0 \] ✗ Mathematica : cpu = 7.44438 (sec), leaf count = 0 , could not solve
DSolve[E^x*y[x]*(d + c*y[x]^2) + E^(2*x)*(b + a*y[x]^4) - Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+exp(x)*y(x)*(c*y(x)^2+d)+exp(2*x)*(b+a*y(x)^4)=0,y(x))