• 2022-06-19
    试讨论微分方程 [tex=2.571x1.357]rjzw0bBUODiY66l+Mq83xK2nNptI4mKUBiz7/a6fp3A=[/tex] [tex=7.429x1.429]lMkz8//kIevR8gOTxJsRK29kYpCQ7tCXp4TsoFG+wNM=[/tex] [tex=4.857x1.429]N1N06ZCzfBmwS94+OifjWRKsn3rIMO9/OwhIYhOT4YY=[/tex] 边值问题的可解性并求解
  • 解:方程有基本解组 [tex=7.786x1.357]mrWY3GjO3krrJ5HA62KFerWZV6rwycyfRVfeoS1uf7E=[/tex] 边值条件对应 [tex=12.143x1.429]/pn8RHrwrY08JdGA35CbkNWgXA/ENbLP9Sqr1fA2d9GIyLdPdHn6yjGo/7/ZgLK8[/tex] [tex=9.571x1.429]epYKXAxbUTq7fmbIdpsA82ptOeK1KOr3bFNVkaMzK3xg8sGMK1RMAc1fF9N8r8Q/[/tex] 得 [tex=13.571x3.357]hFGPqaTLJbz58rkObOard1ibK+NmenREtPXA/+WQHSKcbNzNWcbdyAmJ/R/EKTseyPGa2yCtIbiVz9nVpeMQZGM9NOo6sQxStAZ5GM+YQ8aQDR3BMLihGt2ieyxd3wLulYxVbOZ6+OjiWB2cmfc+Z1JRR9iPGT5/FblC5b8TiSMkP373/qklCcysNKhZJwt4nrLpCbscqrWGB88xWnJTuojzRGujkz/BYsA3ydIXbllSPv5h2AU8WYLBGYkIpy/aVjlP9Y1m/ILRJBkrsRw+gg==[/tex]其秩为 [tex=0.786x1.0]+pxSFUw3Z6rQCnwMOQ1L9w==[/tex] 即齐次边值问题是可解的, 它有解 [tex=4.5x1.143]ax8YOilzZSTfstmNIlDzK9aiztrG2n6LcTMFMQbUOs0=[/tex]

    内容

    • 0

      求解下列矩阵对策,其中赢得矩阵 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 为$\left[\begin{array}{llll}2 & 7 & 2 & 1 \\ 2 & 2 & 3 & 4 \\ 3 & 5 & 4 & 4 \\ 2 & 3 & 1 & 6\end{array}\right]$

    • 1

      【计算题】5 ×8= 6×4= 7×7= 9×5= 2×3= 9 ×2= 8×9= 7×8= 5×5= 4×3= 5+8= 6 ×6= 3×7= 4×8= 9×3= 1 ×2= 9×9= 6×8= 8×0= 4×7=

    • 2

       对 [tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex]的不同值,分别求出循环群[tex=1.143x1.214]StMMJ6qThnpokZJIPGrdFyP3vrLnUdltYxmLxjw8za8=[/tex]的所有生成元和所有子群。(1) 7;           (2) 8;               (3)10 ;(4) 14 ;         (5) 15             (6) 18 。

    • 3

      利用微分,求下列近似值:(1)[tex=2.571x2.0]1gkPHMmDFl17xiZlURulcg==[/tex](2)[tex=2.429x1.429]USggBAjFomMY4e0NLutPiA==[/tex](3)[tex=2.143x1.214]042jw9WE645b3wxL0waCXw==[/tex](4)[tex=2.786x1.0]zIDxscziz4XQWvCmOgHhvQ==[/tex]

    • 4

      判断下列命题是否为真:(1)[tex=3.643x1.357]/5abqJjwKZ1qr+6hsVFF5EBvfq3ggOFNlHMClz0h9nk=[/tex](2)[tex=2.929x1.357]rGJpyjIjJpbcoBTWxP0Jiw==[/tex](3)[tex=4.5x1.357]2wycHMoqU83MyEp17iBils58bR7YLuCTI2G9NVAdlfY=[/tex](4)[tex=5.214x1.357]CTz2gu+IIm1GgNmYMGaduCRtA41wnW4WqwRWwEhq6aA=[/tex](5)[tex=4.857x1.357]1DcE2BMMOaZhTuxR/mjgsboXxfg5ET59Dp4I/jjEDuw=[/tex](6)[tex=4.643x1.357]BSryrsQYOvTP2hTWRu6t4nAuJwlSs4L9jaq70EpB+Us=[/tex](7)若[tex=6.0x1.357]y0IZLUnBO88nR8WBZYvd7QXv5S1OMINV5cQNzPyiyAc=[/tex],则[tex=3.429x1.357]1brfPwTkVVIX4GfoMIUskA==[/tex](8)若[tex=7.643x1.357]MhLfJXZnhbXiB0x3oNtFzThV4Y1mJxe1VYr7PkJE/T6hmTD3WWp+UxbNwvUQ6DHk[/tex],则[tex=4.143x1.357]LZUA94ISo1po5HWsOVeBCjo0rMvj7uw3bGw5HiZenrI=[/tex]