非线性微分方程
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我想问一下下面这个非线性微分方程有没有精确解,以及我根据Matlab的帮助文档,只得到了一组隐式解,有没有办法得到一组精确解?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/958450/image.png)
syms y(x) a
eqn = diff(y,x,2)==-a.*(1-(y.^2)./2)
Dy = diff(y,x)
cond = [y(0)==0,Dy(1)==0]
s = dsolve(eqn,cond,'Implicit',true)
运行后的结果
a*y(x)^3 - 6*a*y(x) == 0
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