2.1544   ODE No. 1544

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

\[ 10 f'(x) y'(x)+y(x) \left (3 f''(x)+3 f(x)^2\right )+10 f(x) y''(x)+y^{(4)}(x)=0 \] Mathematica : cpu = 0.0114668 (sec), leaf count = 0 , could not solve

DSolve[10*Derivative[1][f][x]*Derivative[1][y][x] + y[x]*(3*f[x]^2 + 3*Derivative[2][f][x]) + 10*f[x]*Derivative[2][y][x] + Derivative[4][y][x] == 0, y[x], x]

Maple : cpu = 0.013 (sec), leaf count = 41

\[ \left \{ y \left ( x \right ) =\sum _{{\it \_a}=1}^{4}{{\rm e}^{{\it RootOf} \left ( {{\it \_Z}}^{4}+10\,f{{\it \_Z}}^{2}+10\,{\it df}\,{\it \_Z}+3\,{f}^{2}+3\,{\it ddf},{\it index}={\it \_a} \right ) x}}{\it \_C}_{{{\it \_a}}} \right \} \]