ODE
\[ 5 y'''(x)+x y''''(x)=0 \] ODE Classification
[[_high_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.17205 (sec), leaf count = 27
\[\left \{\left \{y(x)\to c_4 x^2-\frac {c_1}{24 x^2}+c_3 x+c_2\right \}\right \}\]
Maple ✓
cpu = 0.016 (sec), leaf count = 19
\[\left [y \left (x \right ) = \textit {\_C1} +\frac {\textit {\_C2}}{x^{2}}+\textit {\_C3} \,x^{2}+\textit {\_C4} x\right ]\] Mathematica raw input
DSolve[5*y'''[x] + x*y''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> -1/24*C[1]/x^2 + C[2] + x*C[3] + x^2*C[4]}}
Maple raw input
dsolve(x*diff(diff(diff(diff(y(x),x),x),x),x)+5*diff(diff(diff(y(x),x),x),x) = 0, y(x))
Maple raw output
[y(x) = _C1+_C2/x^2+_C3*x^2+_C4*x]