Differential Equations (id: 3dc87ab71)

本题目来源于试卷: Differential Equations，类别为 IB数学

[填空题]
Consider the differentd( 9j: -:svthu:x akazial eq9,3l5y0tg(oz xki elgigg 0+buation $ \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) .   

参考答案:
空格1: 3*x^2-2  空格2: (3*x^4-4*x^2-8)/(3*x^2-2) 


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