2010年武汉纺织大学808数学物理方法考研试题.pdf
a10a11a5a6a2a3a12a13 a14a15a16a17a10a11a5a6a18a19a20a21http:/ 武汉科技学院 2010年招收硕士学位研究生试卷 a22a23a24a25 808 a26a27a28a29 a30a31a32a33a34a35a30a31 a36a37a38a39a38a39 2010a401a4110 a42a43a44 a45a36a46a47 1a48a49a50a51a52a53a54a55a56a57a58a59a60a61a49a50a62a63a64a65a61a66a67a68a69a61a70a71a72a73a74 2a75a49a50a76a77a53a78a79a80a74 3a75a81a82a83a84a85a81a50a86a87a61a85a88a49a89a87a81a50a90a91a74 a50a92 a93 a94 a95 a96 a97 a98 a99 a100 a101 a102 a102a93 a54a103 a54a103 a104a49a89a105a103150a103a61a106a49a107a773a108a107a74 一、设 22 yx yv += 为解析函数 )(zf 的虚部,求 )(zf 且使得 .0)2( =f (18分) 二、将 2)2)(1()( = zz zzf 在区域 |2 z=.0,sin)0,(,0),(),0(),(),0(,0,0,0tttuxxxuxxuxtuuxtxxtt (18分) 五、用分离变量法求解=.0,0)1,()0,(,10),(),0(),(),0(,10,0,0ttutuxxxuxxuxtuutxxtt (20分) a109 a110 a111 a110 a109 2 a110 a111 1 a110 a122a123a117a118a114a115a124a125 a126a127a128a129a122a123a117a118a130a131a132a133http:/ 六、用拉普拉斯变换求解=.0,0),(lim),()0,(,0,0)0,()0,(,0,0,0ttxutftuxxuxutxuuxtxxtt(16分) a109 2 a110 a111 2 a110