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Solving Nonlinear system of differential equations using Matlab

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ash
ash 2015-6-22
评论： Torsten 2015-6-24
How can i solve this system,
u''=(w'^2)'
w''''=(u'w'+w'^3)'
I have a problem writing the following expressions (w'^2)' and (w'^3)' in the standard form of Matlab ode solvers
Thanks
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Walter Roberson
Walter Roberson 2015-6-24
Torsten, somehow your answer got marked as potential spam. I do not know if it would have been visible to non-moderators.

请先登录，再进行评论。

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采纳的回答

Torsten
Torsten 2015-6-22 
u''=2w'*w''
w''''=u''*w'+u'*w''+3w'^2*w''=5w'^2'w''+u'*w''

->

u1'=u2
w1'=w2
w2'=w3
w3'=w4
u2'=2*w2*w3
w4'=5*w2'^2*w3+u2*w3

Here,

u1=u, u2=u', w1=w, w2=w', w3=w'', w4=w'''.

Best wishes

Torsten.

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