ODE No. 1844

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

\[ 4 y(x)^2 y^{(3)}(x)+15 y'(x)^3-18 y(x) y'(x) y''(x)=0 \] Mathematica : cpu = 0.07912 (sec), leaf count = 0 , could not solve

DSolve[15*Derivative[1][y][x]^3 - 18*y[x]*Derivative[1][y][x]*Derivative[2][y][x] + 4*y[x]^2*Derivative[3][y][x] == 0, y[x], x]

Maple : cpu = 0.643 (sec), leaf count = 17

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C3}}{ \left ( -4+ \left ( x+{\it \_C2} \right ) ^{2}{\it \_C1} \right ) ^{2}}} \right \} \]