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I have system(4 equations) of BVPs. Could anybody recommend me, how to solve this system(whatever numericaly or analytical):

x'=-y/sqrt(x^2+y^2) + u

y'=x/sqrt(x^2+y^2) + v

u' = -xy/(x^2+y^2)^3/2 u - [1/sqrt(x^2+y^2) - x^2 /(x^2+y^2)^3/2] v

v' = xy/(x^2+y^2)^3/2 v - [-1/sqrt(x^2+y^2) + y^2 /(x^2+y^2)^3/2] u

and we have only boundary condations for x and y....x(0)=y(0)=-1, x(pi/2)=y(pi/2)=1

thanks

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# Boundary value problem

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