2.1577   ODE No. 1577

\[ f''(x) y''(x)+2 y^{(3)}(x) f'(x)+f(x) y^{(4)}(x)=0 \] Mathematica : cpu = 0.0605761 (sec), leaf count = 46


\[\left \{\left \{y(x)\to \int _1^x\int _1^{K[2]}\left (\frac {c_1}{f(K[1])}+\frac {c_2 K[1]}{f(K[1])}\right )dK[1]dK[2]+c_4 x+c_3\right \}\right \}\] Maple : cpu = 0.014 (sec), leaf count = 21


\[y \relax (x ) = \frac {1}{6} x^{3} c_{1}+\frac {1}{2} x^{2} c_{2}+x c_{3}+c_{4}\]