ODE
\[ 3 y'''(x)+x y''''(x)=0 \] ODE Classification
[[_high_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.00885721 (sec), leaf count = 25
\[\left \{\left \{y(x)\to x \left (c_4 x+c_3\right )+\frac {1}{2} c_1 \log (x)+c_2\right \}\right \}\]
Maple ✓
cpu = 0.011 (sec), leaf count = 18
\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\it \_C2}\,\ln \left ( x \right ) +{\it \_C3}\,x+{\it \_C4}\,{x}^{2} \right \} \] Mathematica raw input
DSolve[3*y'''[x] + x*y''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[2] + x*(C[3] + x*C[4]) + (C[1]*Log[x])/2}}
Maple raw input
dsolve(x*diff(diff(diff(diff(y(x),x),x),x),x)+3*diff(diff(diff(y(x),x),x),x) = 0, y(x),'implicit')
Maple raw output
y(x) = _C1+_C2*ln(x)+_C3*x+_C4*x^2