ODE No. 1845

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

\[ 9 y(x)^2 y^{(3)}(x)+40 y'(x)^3-45 y(x) y'(x) y''(x)=0 \] Mathematica : cpu = 0.0834529 (sec), leaf count = 0 , could not solve

DSolve[40*Derivative[1][y][x]^3 - 45*y[x]*Derivative[1][y][x]*Derivative[2][y][x] + 9*y[x]^2*Derivative[3][y][x] == 0, y[x], x]

Maple : cpu = 0.218 (sec), leaf count = 22

\[ \left \{ y \left ( x \right ) ={{\it \_C3} \left ( {{\it \_C2}}^{2}+2\,{\it \_C2}\,x+{x}^{2}-9\,{\it \_C1} \right ) ^{-{\frac {3}{2}}}} \right \} \]