Solving Nonlinear system of differential equations using Matlab
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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
3 Commenti
Walter Roberson
il 24 Giu 2015
Torsten, somehow your answer got marked as potential spam. I do not know if it would have been visible to non-moderators.
Risposta accettata
Torsten
il 22 Giu 2015
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.
2 Commenti
Torsten
il 24 Giu 2015
Should read
w4'=5*w2^2*w3+u2*w3
instead of
w4'=5*w2'^2*w3+u2*w3
Best wishes
Torsten.
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