Differential Equations (id: e6500e190)

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

[填空题]
Consider the differential equat h*m.mpp)i,lu im-. suhp4 dsrnwbpr/+5 h7h wfl::3vmon $\frac{\mathrm{d} y}{\mathrm{~d} x}+\frac{2 x^{3}}{1+x^{4}} y=4 x^{3} $ where y=1 when x=0 .
1. Show that $\sqrt{1+x^{4}} $ is an integrating factor for this differential equation.   
2. Solve the differential equation giving your answer in the form y=f(x) .   

参考答案:
空格1: sqrt(1+x^4)  空格2: 2/3*(1+x^4)+1/(3*sqrt(1+x^4)) 


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