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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
Torsten
Torsten il 24 Giu 2015
Any questions about my answer ?
Best wishes
Torsten.
Walter Roberson
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.

Accedi per commentare.

Risposta accettata

Torsten
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
ash
ash il 24 Giu 2015
oh ... Thanks a lot, I don't know how I missed that :)
Regards Ashraf
Torsten
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.

Accedi per commentare.

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