2.1819   ODE No. 1819

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

ax3y(x)y(x)+by(x)2=0 Mathematica : cpu = 90.7212 (sec), leaf count = 0 , could not solve

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

Maple : cpu = 0.062 (sec), leaf count = 42

{y(x)=eln(x)RootOf(_Za_aa_a3_a2a+bd_a_b+_C1)d_b+_C2}