求微分方程 [tex=5.214x1.571]P8lsxebV1DfPUfaa07+mlpJ0TjwYIRNbMdluzcl2rT0=[/tex][tex=3.857x1.214]bMoQrqSNLIKfp6P7zEshKw==[/tex] 的通解.
举一反三
- 下列表达式是某个微分方程的通解,求方程的形式:[p=align:center][tex=4.929x1.429]Wh30xQ3kqT5g6QJB7MSxgp8UELktnSrMHzaXgOq7dbk=[/tex]
- 求下列函数的微分：[tex=5.214x1.571]FkQKIx968t4ypmq25IUY1M6NwKcuzeiLAIyOiWZuSpo=[/tex].
- 求下列微分方程的通解或特解:[p=align:center][tex=5.571x1.357]x4k/NHMfjt6Pe4smZphK1p5yI1qmgTpW1VJ8fkZq9Ks=[/tex]
- 设f(x)具有性质：[tex=8.571x1.357]8gPeznjMnng12qtkk9Vgczii1Sh4d1qJxc9iHYT5+YI=[/tex]证明：必有f(0)=0，[tex=5.5x1.357]rt5qCY7TXHcsFUQrD44nPA==[/tex]（p为任意正整数）
- 设矩阵[p=align:center][tex=22.143x3.643]+HNIZcMaSzNwCe0LO7bsUq/nNqiD9uPVTX2/0HTi4M1ZunAEz7qfA0Rd4ovBDZfbF0GGptIGukHKOpbU4T80nTzErVwKYTs47PXy7I1XE++qtUmsh208vGDr7MXpYVMuue4tfvhHRJLpbtyk1c9gflSH5Tkz0UMsPjui7wPzKBU08/vB+N4sKYnD/Q0clHeQK7pT2y7o9KK3BmOLD7xVrZgRj2iFXMh2GeWPZ6MQh2cc/+VI9kCbffCxY/5NFhhEg5peWRqbWgbcZiOGAvr4nJHWN3qjueDxOqTvbDaTM3I=[/tex](1) 求 [tex=3.357x1.214]03ql8P+0CvRd0jLgTuf2VbT/wkB2igrddY7J5Strl0NU0hh6vIeN8jScC63B9GnL[/tex](2) 解矩阵方程 [tex=5.0x1.214]zvhQGTB3bj6p1+G/NgyQR3d8RUTq+KWJyJoscsNb5yO4fheydfGUyOSeXl9e1m/p[/tex] 求 [tex=1.286x1.214]J9ANNFCyxpObx83w0Vdt38yleCTlTu8vvnAXkiBZ7K0=[/tex]（3）解矩阵方程 [tex=11.786x1.357]hbnRNbrpLcfkctuGfn+sleqQROrTrwqqWds6OPLk7Wdn4vtQb1+Muj1i2/7A1FkoB4neXMMMBk0saIAf9uWaRm+qUEsJaMS5QeVJeBYZxhkTnaWiAitNyge3msYgxeJV[/tex] 求 [tex=0.857x1.286]h9C4nePGcGllh55hxKIsUw==[/tex].