ODE
\[ x^2 y''''(x)=2 y''(x) \] ODE Classification
[[_high_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.0267233 (sec), leaf count = 32
\[\left \{\left \{y(x)\to \frac {c_1 x^4}{12}+\left (c_4-c_2\right ) x+c_2 x \log (x)+c_3\right \}\right \}\]
Maple ✓
cpu = 0.01 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\it \_C2}\,{x}^{4}+{\it \_C3}\,x+{\it \_C4}\,x\ln \left ( x \right ) \right \} \] Mathematica raw input
DSolve[x^2*y''''[x] == 2*y''[x],y[x],x]
Mathematica raw output
{{y[x] -> (x^4*C[1])/12 + C[3] + x*(-C[2] + C[4]) + x*C[2]*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),'implicit')
Maple raw output
y(x) = _C1+_C2*x^4+_C3*x+_C4*x*ln(x)