³ò
aÖûFc           @   s#   d  d k  Z  d  d k  Td „  Z d S(   iÿÿÿÿN(   t   *c            s  | d } | d } |  d } |  d } t  d | | g ƒ } | i ƒ  d ‰ | i ƒ  d ‰ | | ˆ ˆ ˆ ‰  | ˆ  ‰ d t ˆ ƒ d t ˆ ƒ d t ˆ  ƒ d t ˆ ƒ d GHd t t ˆ ƒ ƒ d t t ˆ ƒ ƒ GH‡  ‡ ‡ ‡ f d	 †  } | S(
   Ni    i   s   y(n) = R    s   ^n + s   ^ns"   magnitude of natural frequencies: s   , c            s#   ˆ ˆ d |  ˆ  ˆ d |  i  S(   Ny                (   t   real(   t   n(   t   coeff2t   coeff1t   root2t   root1(    s
   diffeq2.pyt   y   s    (   t
   Polynomialt   rootst   strt   abs(   t   xlistt   alistt   a1t   a2t   x0t   x1t   pR   (    (   R   R   R   R   s
   diffeq2.pyt   solveDiffEq   s    




=)(   t
   polynomialR   (    (    (    s
   diffeq2.pys   <module>   s   
