求方程 [tex=3.857x1.357]eE9dXkpN2effVrNkAbXJmEr3iVoWZorSqAYkqgslHqo=[/tex] 的通解.
解: 令 [tex=2.357x1.357]PztCt4f/btsY6hCJromyFQ==[/tex] 则 [tex=2.786x1.357]buWvJRyD+SdEjI2QkcioDhsEAJXTMFTTjJc0cAEaN3sFnWYB5mx+loPCUkf/PWMp[/tex] 得线性方程[tex=3.429x1.357]Jh2Bw0ylTlH9rC0w4Dd8FXNmT1q3LrCQEmjy+zUUuho=[/tex],即 [tex=3.429x1.357]aENSvzwvnUj9VtpnvYyFtuWjqby3xS/lGQqdj0tqPGA=[/tex]解得 [tex=26.286x2.786]QdyImOvWxY4+2sIMhOgjLH3bsh6/12SRKFgGs6gJ/6x4F2OyAhWAC/T1IzYU5r9+ZEAbEtSO54IQQl75sbG3wmS5gifuVeuDebxJ/Ybz0VIeNlQ3mNRDYr+pwV8ZXtJFjkN7xHEs/yokqw51WmHpGX77RD4yEHUq4vBQ5RvQHtdWrZ+NK/74m3aDOdo6WFOPIhW3LOkLACg+0M84tcakY6eA9bscApKWf4WGEgkcA031wvCdL7K3e4Lnn/EaA9QGqYe4UF4Rm+1DpJpW2XvQrg==[/tex]则 [tex=18.0x2.643]3Hu7FJh1vctl7RYFIfXgMXu9sIsw47HLkryuge5iWU+A3m24N8iZTs6JZJkPG4i0DgHJ9xIFP3SdItCkn4TsPpkIk/9FlYMjNwqLxv6lw1/aa7REmQmpRBZhUASCxI/K3gK+MmeGwdr0hsOjShpkwA==[/tex].
举一反三
- 求下列各微分方程的通解或满足初始条件的特解.[tex=3.857x1.357]eE9dXkpN2effVrNkAbXJmEr3iVoWZorSqAYkqgslHqo=[/tex].
- 用常数变易法求下列线性微分方程的通解:[tex=11.643x1.429]m0sKckxx+jZ9iltApBtB2xK/bY78B2MPqoJmtsHweRut0wLnO4A6Ym8QeVQLki9xbaJfehe8NxxX7Bl/j7sGjQ==[/tex] 已知 [tex=3.857x1.357]/ntQ+LOJv1kBX+rgQjJBNssgnHWtl5u4wkii5+ZGnx8yPm4ZXTwF5TO8SU1IMPEB[/tex] 是该方程的一个解.
- 用常数变易法求下列线性微分方程的通解:[tex=12.071x1.429]GoRqxZGZC5kjaQ7CO+rytQCNXdq8jvsot+/sy3NLgYbWZGHPx79kmfT6pak+gW8nQKGmyoIM2kqJoK8vhKPtCA==[/tex] 已知 [tex=3.857x1.357]/ntQ+LOJv1kBX+rgQjJBNkdV3qM/GhlAZlGwfvh4oBE=[/tex] 是该方程的一个解.
- 求方程[tex=11.5x1.571]LcgmtA0AXodlhkznrpKxCZy7gwApE7F2CU55XiFsj2zeERLfQd7YMtDUXnESiBSXiy35mnwuewp5PIcYSphJ0Q==[/tex]的通解.
- 求方程 [tex=6.357x1.357]SeCROCAGlltH5yolHmRpKvWZNNEyH5WC86qoVU5ob94bu1NhOFMG3MHv8vvoEvNM[/tex] 的通解
内容
- 0
求方程 [tex=7.214x1.357]SeCROCAGlltH5yolHmRpKnfKKeh7MCF4IdB0i8oTvv5I9QI4lO8BjcNj+u7pEOT4[/tex] 的通解
- 1
求方程 [tex=8.714x1.357]SeCROCAGlltH5yolHmRpKtphOI8jmW9t8DW6hC6rlzgxUfGWZe+PUfjKyAuzmLWHeAzAkRdzqBoiqLwzr5mhpw==[/tex] 的通解
- 2
求下列方程的通解[tex=3.714x1.429]KFgg1cMDBqVpN6mqacBRCQ==[/tex]
- 3
求方程[tex=3.571x1.357]rjzw0bBUODiY66l+Mq83xNiOoJfkieX/GLipkFlJjeM=[/tex] 的通解.
- 4
求Euler方程[tex=10.429x1.429]KY8UeqjqRwfPCHaOAlTSE1TgLjAmG7IMJm8SwzsfBQ6IjCsAjKIqip4BRnTYme0kMlkThYTIgUJbLeuQLZvBsauSeDfBxURKwT9PF+XGLWE=[/tex]的通解.