DSolve[-36*x*Derivative[1][y][x]^2 + 6*y[x]*Derivative[2][y][x] - 6*(1 - 6*x)*x*Derivative[1][y][x]*Derivative[2][y][x] + (2 - 9*x)*x^2*Derivative[2][y][x]^2 == 0,y[x],x]