《复变函数与积分变换》习题册

?S?3?3S1?51S?13e1、(t?1)u?t?1? 2、2 3、 4、 5、 22S?9S?3?S?1??1?S?1??16、

2?S?3?2?4 7、

2?S?1?3?2?S?1?2?11 8、?sint?tcost?

2S?1cos4t?9、F1?S??F2?S? 10、

1sin4t 2二、单项选择题

C D C D B D C

三、计算题

2a2aS1?1S?a?1?125S???1、⑴ ? ⑵ ⑶ ????2222222?S?a2?S?a2S25S?4???S?a??4??S?a?? ⑷

131111??5 ⑹ ⑸ ⑺ ?22S?2S?5S?2S?2?S?1??S?a??1S2?a21?1S?244⑻ ??2 ⑼ ⑽ ???232222?SS?16??S?1??S?1?S?1?S?a?4?S?1?cos2?Ssin2?2Scos2?Ssin2e?2Se ⑿ ⑾ ⒀ ⒁2 2222S?1S?1S?1??S?1??4???12、tsint

2b1?teat?ebt? ⑷ et?1 ⑸??e?2t?6e3t? 3、⑴ 1?e ⑵ sin(t?1)u(t?1) ⑶ ?a?b5 ⑹

??t??sint ⑺ 2cos3t?sin3t ⑻ 2?e?2t?e?4t? ⑼ 4tet?et?2

?tt2tt2t4、⑴ e?3e?2e ⑵ 1?2e?e ⑶ ⑷ Y?S??1t?t?e?e? 21?t72tttyt?e?4e?e , y(t)?tesint ⑸ ??2233?S?2S?2?t3tt3t2?S?1?5、⑴ x?t??2e?e,y?t??3e?4e ⑵ x?t??1?cost,y?t??sint

⑶ x?t??y?t??e ⑷ x?t??3?2e?et?t?2t,y?t??2?4e?t?2e?2t

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