ODE
\[ x^2 y''(x)=6 y(x) \] ODE Classification
[[_Emden, _Fowler]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.0183291 (sec), leaf count = 18
\[\left \{\left \{y(x)\to \frac {c_1 x^5+c_2}{x^2}\right \}\right \}\]
Maple ✓
cpu = 0.009 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,{x}^{5}+{\it \_C2}}{{x}^{2}}} \right \} \] Mathematica raw input
DSolve[x^2*y''[x] == 6*y[x],y[x],x]
Mathematica raw output
{{y[x] -> (x^5*C[1] + C[2])/x^2}}
Maple raw input
dsolve(x^2*diff(diff(y(x),x),x) = 6*y(x), y(x),'implicit')
Maple raw output
y(x) = (_C1*x^5+_C2)/x^2