Solve-the-following-system-of-differential-equations-for-functions-x-t-and-y-t-m-d-2-x-dt-2-kx-x-2-y-2-2-m-d-2-y-dt-2-ky-x-2-y-2-2-

Question Number 4625 by Yozzis last updated on 14/Feb/16

S o l v e t h e f o l l o w i n g s y s t e m o f d i f f e r e n t i a l

e q u a t i o n s f o r f u n c t i o n s x (t) a n d y (t) .

m \frac{d^{2} x}{{d t}^{2}} = \frac{k x}{{(x^{2} + y^{2})}^{2}}

m \frac{d^{2} y}{{d t}^{2}} = \frac{k y}{{(x^{2} + y^{2})}^{2}}

m a n d k a r e c o n s t a n t s .