2.1544   ODE No. 1544

\[ y(x) \left (3 f''(x)+3 f(x)^2\right )+10 f'(x) y'(x)+10 f(x) y''(x)+y^{(4)}(x)=0 \]

✗ Mathematica : cpu = 0.0163877 (sec), leaf count = 0

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]
 

, 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 = 0.016 (sec), leaf count = 41

dsolve(diff(diff(diff(diff(y(x),x),x),x),x)+10*f*diff(diff(y(x),x),x)+10*df*diff(y(x),x)+(3*f^2+3*ddf)*y(x)=0,y(x))
 

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