ODE No. 1494

\[ x^2 y^{(3)}(x)+5 x y''(x)+4 y'(x)-\log (x)=0 \]

✓ Mathematica : cpu = 0.0293878 (sec), leaf count = 43

DSolve[-Log[x] + 4*Derivative[1][y][x] + 5*x*Derivative[2][y][x] + x^2*Derivative[3][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to -\frac {x}{2}+\frac {1}{4} x \log (x)-\frac {c_1}{x}-\frac {2 c_2}{x}-\frac {2 c_2 \log (x)}{x}+c_3\right \}\right \}\]

✓ Maple : cpu = 0.031 (sec), leaf count = 32

dsolve(x^2*diff(diff(diff(y(x),x),x),x)+5*x*diff(diff(y(x),x),x)+4*diff(y(x),x)-ln(x)=0,y(x))

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