四川师范大学2008-2009第一学期常微分方程期末试题B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 B B 程期末考试试题BB 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 (B) 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。 Questio signatu I II III IV V VI total n number re scores scores signature I.(15 points) Solve ordinary differential equation . scores signature II．(15 points) Solve the linear ordinary differential equations . scores signature III．(15 points). Solve the ordinary differential equation scores signature IV．(15 points) Solve the linear ordinary differential equation w ith the initial-value . scores signature V．(20 points)．If satisfies the differential inequality Show that scores signature VI． (20 points) Assume are fundamental solutions of the equ ation . Show that the coefficients function of the equation and ar e determined uniquely by the fundamental solutions of the equation. 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. Let then . If y or dy is replaced by ux or in the equat ion , respectively, we have 5 points . Integrate the above equality，it follo