2.1735   ODE No. 1735

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y(x{)}^2(ay(x)+bx)-y^{\prime }(x{)}^2+2y(x)y^{″}(x)=0$$ ✗ Mathematica : cpu = 0.734044 (sec), leaf count = 0 , could not solve

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

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

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