# MATLAB: Solving Nonlinear system of differential equations using Matlab

nonlinear diffrenial_equationsnonlinerde

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

• 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.