陈祖墀偏微分方程第4版习题1参考解答

[pde]陈祖墀偏微分方程第4版习题1-01 线性, 半线性, 拟线性, 全非线性偏微分方程的判定    https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508803&idx=8&sn=24e364fda85b9a8803f39c58dc2cce11&chksm=fc154afecb62c3e8f835987c3fd3c6453f75072dce6ca0e022e09e634394348598b9b3cab8fa

[pde]陈祖墀偏微分方程第4版习题1-02 偏微分方程的适定性       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508803&idx=7&sn=1b83daabebc477c5dbf3bf8ad5c688b0&chksm=fc154afecb62c3e8896f6fcbcdaa9a8d087b438276afac85480b1083b8cca7e3adb16b71c250

[pde]陈祖墀偏微分方程第4版习题1-03 偏微分方程的分类       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508803&idx=6&sn=b4d4673535e90d9f1c6a5621f1e1a960&chksm=fc154afecb62c3e8f5da91d5f123e59d1cc60c5a979f9aecb47ee4fd123597a327fb08459c79

[pde]陈祖墀偏微分方程第4版习题1-04 椭圆型方程组的判定与标准型       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508803&idx=5&sn=5d4f84f52012caf4d869d893544fa3b3&chksm=fc154afecb62c3e8c93225809843f6eaa4862c80eee5d937856450b12c796dc0845e49e17996

[pde]陈祖墀偏微分方程第4版习题1-05 二阶微分方程可通过可逆光滑变换化为标准形       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508803&idx=4&sn=8f1267213e59c2e9548b64319120fef5&chksm=fc154afecb62c3e84ab414eaa7cf899e4778df9bd851d32dfdc1c2357775ac24b064d91ee62b

[pde]陈祖墀偏微分方程第4版习题1-06 方程类型的判定       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508803&idx=3&sn=c99e90fe02c46f4b91eebe2b9071d7f4&chksm=fc154afecb62c3e81602ef3353a5dc725e3495e689500f161946398a5138bd4640ef8daf70f4

[pde]陈祖墀偏微分方程第4版习题1-07 化偏微分方程为标准形       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508803&idx=2&sn=a134b04492c44b3fff239daf02c364ac&chksm=fc154afecb62c3e8bd99b6979644f057905ec665e6b0311049b931a0355fe8b0571d9e3045a3

[pde]陈祖墀偏微分方程第4版习题1-08 Tricomi 方程的类型与标准形       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508803&idx=1&sn=47878ca02cad7fb920c751c714294c8b&chksm=fc154afecb62c3e8454d7bf8f058d32db2f207471f02e0454558903c2b6f2cdda0f8d401000d

[pde]陈祖墀偏微分方程第4版习题1-09 化多个自变量的偏微分方程为标准形       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508805&idx=8&sn=e9f93c06eb2ac0f28aae13c7ec4026c3&chksm=fc154af8cb62c3ee3ce9fa57886c14ada997a56f472f16f11c832460759b101126a6bf643225

[pde]陈祖墀偏微分方程第4版习题1-10 带参数的偏微分方程的类型       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508805&idx=7&sn=05b954d0c11bea924a05164f272ccf07&chksm=fc154af8cb62c3eec3bbfd0f9f0e85e10ece0fc2931f4870022f8daa8f4d3a890716e76d50d1

[pde]陈祖墀偏微分方程第4版习题1-11 一个半线性方程的通解       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508805&idx=6&sn=d7f7d0e429769290a613365141cc7162&chksm=fc154af8cb62c3eeb99e10ef439c3eb87a2af72ecfbab1da14bb1d5f16395f77eae31716b3af

[pde]陈祖墀偏微分方程第4版习题1-12 二阶线性偏微分方程经过可逆变换后保持判别式符号不变    https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508805&idx=5&sn=74545cf26423809e44d3243e9777e263&chksm=fc154af8cb62c3eeaaa5aef233feeb76cbcb7aab5cd811cb36593224ae1f5d1745d6629b96bd

[pde]陈祖墀偏微分方程第4版习题1-13 二阶常系数双曲型/椭圆型方程可经过自变量变换与为函数变换将一阶偏导数去掉       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508805&idx=4&sn=d0a5349ccd42ac80a5fb315be75437b8&chksm=fc154af8cb62c3ee739a864261d18cfc1fa89f0400dc8bc0ec885ebe29a2be476f443f5ad93d

[pde]陈祖墀偏微分方程第4版习题1-14 常系数偏微分方程可将所有一阶偏微商去掉    https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508805&idx=3&sn=645bb01feee35e1929e304a751e84d0e&chksm=fc154af8cb62c3ee4f008fe78f35b15973a4b9d7bfd853dd31a3db2309c1593603fcf87b7278

[pde]陈祖墀偏微分方程第4版习题1-15 两个自变量的偏微分方程可将一阶偏微商去掉       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508805&idx=2&sn=c24eb3c09ffdc87d9ed6b03d6344364e&chksm=fc154af8cb62c3ee30ace85b024341d2fe374e93694999d631b33c59c0c52b0a126a401f5618

[pde]陈祖墀偏微分方程第4版习题1-16 作函数代换可将边界条件齐次化       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508805&idx=1&sn=15a008fcf9043f0a5e7be779e30c4336&chksm=fc154af8cb62c3ee84007b3a9345a1bd6561ffe1aff480a9a53165b447a696421767c0e50513

[pde]陈祖墀偏微分方程第4版习题1-17 作未知函数变换可将热传导方程齐次化, 并且保持齐次边界条件章     https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508807&idx=8&sn=f99bd1af9f057e2f7e4e031b2dc2e199&chksm=fc154afacb62c3ec6ef8f0666b00cef7b8b369624cd916570f5c44cd32cbcbdea89699ba563f

[pde]陈祖墀偏微分方程第4版习题1-18 热传导方程可通过未知函数代换将一阶与零阶项去掉    https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508807&idx=7&sn=5801a2a1a03d0b1b09e6b41501bee3cf&chksm=fc154afacb62c3ec027ca6f33e8e95f6ff26d2ce1dd081cbf93ee8fd0413ae7113859d839a37

[pde]陈祖墀偏微分方程第4版习题1-19 带阻尼的热传导方程可化为热方程    https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508807&idx=6&sn=e6372693127d1844403c4085b261ff2a&chksm=fc154afacb62c3ec50df5329ea3a2a754a7ccc8a9a1b2a867399dd084441e1e56841310e1464

[pde]陈祖墀偏微分方程第4版习题1-20 拉普拉斯方程的径向对称解       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508807&idx=5&sn=37c357ca35cf4500b54f6f6f0d2007e4&chksm=fc154afacb62c3ec82e8f40519e77fac2e51711c7bfd35e3205a17d74600bb0d582174acc7b0

[pde]陈祖墀偏微分方程第4版习题1-21 热传导方程的相似变换解       https://mp.weixin.qq.com/s?__biz=MzU1OTQxNTUwNg==&mid=2247508807&idx=4&sn=4366abfbf58f1309981ac4bf542075a5&chksm=fc154afacb62c3ec1ea95d51c1b5f2f04e17d0fa1e68b5d7de729fa17560723d18d9c554b80d