ODE No. 1553

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

✓ Mathematica : cpu = 0.0131594 (sec), leaf count = 29

DSolve[2*Derivative[2][y][x] + 4*x*Derivative[3][y][x] + x^2*Derivative[4][y][x] == 0,y[x],x]

\[\{\{y(x)\to c_2 (-x)+c_4 x+c_2 x \log (x)-c_1 \log (x)+c_3\}\}\]

✓ Maple : cpu = 0.011 (sec), leaf count = 17

dsolve(x^2*diff(diff(diff(diff(y(x),x),x),x),x)+4*x*diff(diff(diff(y(x),x),x),x)+2*diff(diff(y(x),x),x)=0,y(x))

\[y \left (x \right ) = \left (c_{4} x +c_{2} \right ) \ln \left (x \right )+c_{3} x +c_{1}\]