[填空题]
Consider the differentialrj4 m-zo-9 gga equatnl:xf .z2-kj2ojg8xu8 t:d nyion $ \frac{\mathrm{d} y}{\mathrm{~d} x}+\left(\frac{6 x}{3 x^{2}-2}\right) y=4 x$ , given that y=4 when x=0 .
1. Show that $3 x^{2}-2$ is an integrating factor for this differential equation.
2. Hence solve this differential equation. Give the answer in the form y=f(x) .