2015-2016学年常一学《复文西我与积2分换考枣一3 5.(10%)Solve the IVP x"(t)+2x()+x(t)=1,x(0)=1,x(0)=-1 6.(20%scta=, (1)Showthat f(z)maps lines not passing through the origin onto circles passing through the origin. (2)Show that f(z)maps circles passing through the origin onto lines not passing through the origin. (3)Show that f(z)maps circles not passing through the origin onto circles not passing through the origin.2015-2016 学年第一学期《复变函数与积分变换》期终考试试卷--3 5. (10%) Solve the IVP 𝑥 ′′(𝑡) + 2𝑥′(𝑡) + 𝑥(𝑡) = 1, 𝑥(0) = 1, 𝑥 ′(0) = −1. 6. (20%) Set (𝑧) = 1 𝑧 . (1) Show that 𝑓(𝑧) maps lines not passing through the origin onto circles passing through the origin. (2) Show that 𝑓(𝑧) maps circles passing through the origin onto lines not passing through the origin. (3) Show that 𝑓(𝑧) maps circles not passing through the origin onto circles not passing through the origin