The general solution to the differential equation I am having problems in classifying the differential equation $y''=y(x^2)$ in categories like homogeneous, exact, bernoulli, separable and non-exact so I could have the general solution. 
Or would someone help me find the solution 

the solution containes the Bessel-function
$$y \left( x \right) =C_1 \,\sqrt {x} \, {{I}_{1/4}\left(1/2\,{x}^
{2}\right)}+ C_2 \,\sqrt {x} \, {{K}_{1/4}\left(1/2\,{x}^{2}
\right)}
$$
