The differential equation can be rewritten as y''=f(y,y',x) Thus it is easy to obtain y''(0) with given condition. differentiate the equation above, and take x=0, you can obtain y'''(0), similarly to get y''''(0) and so on. Then you can use Taylor Expansion to Solve your problem该题为二元二次微分方程， 高等数学上有详细的解题方法 解得到 y关于 x的表达式，（可用幂级数展开） 取前五项 ，求值 ，取前六项 ，求值 即得答案
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The differential equation can be rewritten asy''=f(y,y',x)Thus it is easy to obtain y''(0) with given condition.differentiate the equation above, and take x=0, you can obtain y'''(0), similarly to get y''''(0) and so on.Then you can use Taylor Expansion to Solve your problem.
