本题目来源于试卷: Differential Equations，类别为 IB数学
[问答题]
Consider the differentia(+c kl(iy*u(/s psvsd:uz r)nl equation;2ahp8x6e gzom 7sz3 ;fd tta, $\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{x}{3 y^{2}}+x y $, where y=1 when x=0 .
1. Show that $ z=y^{3}$ transforms the differential equation into $ \frac{\mathrm{d} z}{\mathrm{~d} x}-3 x z=x $.
2. By solving this differential equation in z , obtain an expression for y in terms of x .
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