ODE
\[ x^2 y''(x)=12 y(x) \] ODE Classification
[[_Emden, _Fowler]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.157526 (sec), leaf count = 18
\[\left \{\left \{y(x)\to \frac {c_2 x^7+c_1}{x^3}\right \}\right \}\]
Maple ✓
cpu = 0.014 (sec), leaf count = 15
\[\left [y \left (x \right ) = \textit {\_C1} \,x^{4}+\frac {\textit {\_C2}}{x^{3}}\right ]\] Mathematica raw input
DSolve[x^2*y''[x] == 12*y[x],y[x],x]
Mathematica raw output
{{y[x] -> (C[1] + x^7*C[2])/x^3}}
Maple raw input
dsolve(x^2*diff(diff(y(x),x),x) = 12*y(x), y(x))
Maple raw output
[y(x) = _C1*x^4+_C2/x^3]