u'_1 = x*y_1 - u_2 , u_1(o)=1 u'_2 = xu^2_1 - u_2, u_2(o)=1 Using picard iteration, show that the soln can be obtained for |x|<o.3 Do you find u_1 and u_2 through picard iteration first?
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Originally Posted by Nusc u'_1 = x*y_1 - u_2 , u_1(o)=1 u'_2 = xu^2_1 - u_2, u_2(o)=1 Using picard iteration, show that the soln can be obtained for |x|<o.3 Do you find u_1 and u_2 through picard iteration first? Recall that if then the picard iterates are obtained by solving For systems, this extends and for your system (I'll use x(t) and y(t) b/c of the subscripts) with . Then calculate the iterates recursively.
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