ODE
\[ x^2 y''''(x)=2 y''(x) \] ODE Classification
[[_high_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.168319 (sec), leaf count = 32
\[\left \{\left \{y(x)\to \frac {c_2 x^4}{12}+(c_4-c_1) x+c_1 x \log (x)+c_3\right \}\right \}\]
Maple ✓
cpu = 0.014 (sec), leaf count = 19
\[[y \left (x \right ) = \textit {\_C1} +\textit {\_C2} \,x^{4}+\textit {\_C3} x +\textit {\_C4} x \ln \left (x \right )]\] Mathematica raw input
DSolve[x^2*y''''[x] == 2*y''[x],y[x],x]
Mathematica raw output
{{y[x] -> (x^4*C[2])/12 + C[3] + x*(-C[1] + C[4]) + x*C[1]*Log[x]}}
Maple raw input
dsolve(x^2*diff(diff(diff(diff(y(x),x),x),x),x) = 2*diff(diff(y(x),x),x), y(x))
Maple raw output
[y(x) = _C1+_C2*x^4+_C3*x+_C4*x*ln(x)]