四川师范大学2008-2009第一学期常微分方程期末试题A英文版(含答案)精选.pdf

2008 2009 2008 2009 四川师范大22000099学年度第一学期常微分方 A A 程期末考试试题AA 四川师范大学数软学院数学与应用数学期末考试 2008－2009学年度第一学期期末考试 TEST PAPER OF ORDINARY DIFFERENTIAL EQUATIONS (A) 答卷说明 答卷说明 答答卷卷说说明明：本试卷共6页，4个大题，满分100分，120分钟完卷。 Question signatu I II III IV V VI total number re scores scores signature I．(15 points) Solve the initial-value problem . scores signature II．(15 points) Solve the linear ordinary differential equations . scores signature III．(15 points) Solve the first order implicit differential equatio n . scores signature IV．(15 points) Solve the linear ordinary differential equation w ith the initial-value . scores signature V．(20 points)． Prove that is an integrating factor of homogeneous equati on . scores signature VI．(20 points) Let is fundamental matrix solution of linear hom ogeneous differential equations . Show that is the general solution of lin ear nonhomogeneous differential equations . 答案及评分细则 答案及评分细则 答答案案及及评评分分细细则则 I．Solution . The associated homogeneous equation of the equation is , w hich