求二维波动方程的轴对称解（即二维波动方程的形如[tex=4.357x1.286]plopj1JHvG4A3z5wJXXjhg==[/tex]的解，[tex=5.929x1.286]i8pNjiSLyytpvTrP+rWUfc0gR48hmHVZoItDX3NJEjM=[/tex]）.
举一反三
- 利用叠加原理，求下列二维波动方程初值问题的解：[tex=22.714x3.357]fnpmC2J6JmQBLyo5NmGAzz1EEFvh0W+KMVB3PRTO6PATreXV8WjpnB9jxvdmG/QV9szYD1fUuGN1zyGHZuEb1xql4yj32bVpZhVUS2U8CS/Smt7BZTwsKggr4u4cHLBsckRFNNi5ZLCIXxnnNOn1zvr3JQMUhLh7NSzwYJUK6+IMM9/gjz6AeoAsCunwWES1VX7PhkEivnRJ6YwlVX5HqXeEvQdxhkQAAI0SWoNHkp7glH2gBY9HETBLt8Skq+Ms[/tex]
- 求二维拉普拉斯方程的基本解,即求[tex=16.286x2.714]Hvc3DRViYQYrFC7OWnSXU8TPY3pP09tLdRvIOrT3gEoyioxS/1jjunzp3wZG42NDMv9AOGAM7ImyN8VzhgiVFe5o8eenc5J8uvnS1Y7VZVsr6x7c6arA0k3H6nqU8XRRZXVAz8Pmn39emoSGeoB5Sg==[/tex]的解
- 利用叠加原理，求下列二维波动方程初值问题的解：[tex=26.0x3.357]fnpmC2J6JmQBLyo5NmGAzz1EEFvh0W+KMVB3PRTO6PAORzcb2eJvXoKFm4icblRWOwtbbN5YfDj41xHfcV6pBzPSR7/+J+qz8L6OKMfitPAbuRpbF2OKMlYezbvvG7ZCZPHmUe1ba1TsFpgYaBzflJUs1/8jQumuSP5/K6TWxAph8QkDFpCgEXDA9p/mbYiDHxp8WzFPo9qBuoBAtXAVd0FYWe6ZLMoqBH0uschmOgpwBVBbQcMHlFns2GEFeApLFqd5y3TPBPjTMHbAu1gQ1A==[/tex]
- 求解三维波动方程的球对称解[tex=20.143x3.357]fnpmC2J6JmQBLyo5NmGAzz1EEFvh0W+KMVB3PRTO6PCllxqnGT5RahRD/oemPr+eyHwsu1e9HiZHdeZ4NNs/fxdWigbVOHIKeqr7d+HUQeZSK44Kh0h1r1KSv76D9bQ6hUxyqPz4mzEgrhKQ1OCpOxdqXiQoqEpORXpQ8rjSVdVyYrkDCUTNERynqtzedr+Yzg6sxnFQWvprMXAXvhEf9yFPjMBq6jOOD2FoKIERFpI=[/tex].
- 求下列波动方程 Cauchy 问题的解:[br][/br][tex=9.571x3.357]7EJHVCtO2IWq3KpdB+jQsteTgYKcO485vpVNkAgPUaZ19PeUucXr5pxanPWNBmKJuYjk7sHxeVe4rpYc9WTXuLi3RjtHQMhdnKrvcpPCrGZ12vI172EWQmhXY3oSjvhjh7vM983Necuno84bq/uQAcQqZjlfuSxdMg5KotWy5hg=[/tex]