• 2022-06-19
    求下列微分方程的通解: [tex=8.643x1.5]cf5WxKVaFJKWj394hlcrCLfTG/yQul2+opZQiiNAdouutDfd4nSLGRqBNAeQxXXF[/tex].
  • 令 [tex=3.929x1.429]gd5tsh5ej/hOT1C1YVUqmhAE7vrprlOPSpMd7zI8jZs=[/tex],  则[tex=4.286x2.643]rjzw0bBUODiY66l+Mq83xGQM0KzJnQySIjpr7Y/0kk+vWlaMkepoqxt9FTC0LhLehxL423eVaz5hec6H6OpMqA==[/tex] , 代人原方程得[tex=9.429x2.643]pShodd0pwEu28+X5tH0QmyLcGQgCrCOkUsTHagYuSpzrMuW6nVdnYR/WlT53HLyY4Zs1lfsUT6DGhPkz7ddqPg==[/tex],在[tex=2.357x1.214]4KwmpjATSuOAbMW+LjkG5g==[/tex] 时,约去 [tex=0.571x1.0]FGGpnaR8m8C48rN8O0c7aw==[/tex] 并分离变量,得 [tex=7.071x2.643]UDOJYaodf9XT86FEQ7X4gvWlzkQEzwMXjY7utfRSDvIAPcO/CUBtOurtBFPlwmEWd/KWz87fazky34lxDt334g==[/tex],两边积分得 [tex=11.643x1.357]Vo/g3EqLzjajz2zP5ZmKml/Fup62koierV16k4EJFPJ9DI/Xnj7UHKDO4sSaPCA1[/tex], 即 [tex=7.286x1.5]I9qtnT9T5GGjkjHv+4hfXbMLVggcZmzl9VkxHMWGZH0=[/tex].亦即 [tex=7.571x1.5]UQzrSgZmJgFzf86ltOQm0YKcZO65GsPXVgqM/v1uCRsUUyzEiKrleGbA2yk5FpBd[/tex], 分离变量得 [tex=8.143x2.714]UDOJYaodf9XT86FEQ7X4gqXXH0lLtZAtcAlUFM1BaZnwmEpSaMy+JH3o90WZYEI3f+f2Ur5eyEqAwKHGNLHEUQ==[/tex],两边积分即得原方程通解为[tex=7.714x2.571]Jxj+dJtt4A8b8gK1Ny3szDHDPKaa5hLJD84McE2JESU=[/tex],   即  [tex=8.714x2.5]33S2VkAEuvBITtBu+qnfZrBGM/Bf4+DvKkOHXMU3AYbTiqcVWfIIhNoILsi39+il[/tex].

    内容

    • 0

      求下列微分方程的通解:[tex=4.0x1.357]0impW2WklAhr9eiTopjCbHVSTf3RC7K3jqEEmP0ofwk=[/tex] .

    • 1

      求下列微分方程的通解:  [tex=4.286x1.357]QmJ4zTKRbEaW9nTrORttlOCImb2CNjnzTdbybe4vlQ4=[/tex]

    • 2

      求下列微分方程的通解:[tex=3.071x1.357]m0sKckxx+jZ9iltApBtB27QYWFnv40zUd2jy6SC7LuRmlgTYsUQPuAc5EzcPMEu4[/tex].

    • 3

      求下列微分方程的通解:[tex=6.643x1.429]LTMyH0WIzFUN0EHuFsgREnQKgexTsLjMeBZyz8IDCja3412pomMcUAWskqoUb+yu[/tex]

    • 4

      求下列微分方程的通解:[tex=4.429x1.429]4XDBu7mRoRcmkmv7MgmB65QNZg0sgo7cqCyCW9J6JHI=[/tex]