中央电大本科常微分方程试题1月小抄参考

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1、专业好文档试卷代号：1076中央广播电视大学20092010学年度第一学期“开放本科”期末考试(半开卷)常微分方程 试题 2010年1月 一、填空题(每小题3分，本题共15分) 1一阶变量可分离微分方程M()N(y)dc斗户()Q(y)如0的积分因子是_。 4二阶方程y"+()y'十g()y0的等价方程组是 5如果函数组y1()，y2()在区间I上线性相关，那么它们的朗斯基行列式W()在区间I上一·二、单项选择题(每小题3分，本题共15分)6微分方程ylnydx+(x一1ny)dy0是( ) A. 线性方程 B可分离变量方程C. 全微分方程 D贝努利方程 A. 无

2、B只有一个 C. 只有两个D有无穷多个 A. 鞍点 B不稳定结点 C. 不稳定焦点 D稳定焦点 三、计算题(每小题8分，本题共40分) 求下列方程的通解或通积分：四、计算题(本题共15分)五、证明题(本题共15分)试卷代号：1076中央广播电视大学20092010学年度第一学期“开放本科”期末考试(半开卷)常微分方程 试题答案及评分标准(供参考) 2010年1月一、填空题(每小题3分，本题共15分)二、单项选择题(每小题3分，本题共15分) 6A 7C 8A 9D 10B三、计算题(每小题8分，本题共40分)"If we don't do that it will go on

3、 and go on. We have to stop it; we need the courage to do it."His comments came hours after Fifa vice-president Jeffrey Webb - also in London for the FA's celebrations - said he wanted to meet Ivory Coast international Toure to discuss his complaint.CSKA general director Roman Babaev says t

4、he matter has been "exaggerated" by the Ivorian and the British media.Blatter, 77, said: "It has been decided by the Fifa congress that it is a nonsense for racism to be dealt with with fines. You can always find money from somebody to pay them."It is a nonsense to have matches p

5、layed without spectators because it is against the spirit of football and against the visiting team. It is all nonsense."We can do something better to fight racism and discrimination."This is one of the villains we have today in our game. But it is only with harsh sanctions that racism and

6、 discrimination can be washed out of football."The (lack of) air up there Watch mCayman Islands-based Webb, the head of Fifa's anti-racism taskforce, is in London for the Football Association's 150th anniversary celebrations and will attend City's Premier League match at Chelsea on

7、Sunday."I am going to be at the match tomorrow and I have asked to meet Yaya Toure," he told BBC Sport."For me it's about how he felt and I would like to speak to him first to find out what his experience was."Uefa has opened disciplinary proceedings against CSKA fo

8、r the "racist behaviour of their fans" during City's 2-1 win.Michel Platini, president of European football's governing body, has also ordered an immediate investigation into the referee's actions.CSKA said they were "surprised and disappointed" by Toure's co

9、mplaint. In a statement the Russian side added: "We found no racist insults from fans of CSKA."Baumgartner the disappointing news: Mission aborted.The supersonic descent could happen as early as Sunda.The weather plays an important role in this mission. Starting at the ground, conditions h

10、ave to be very calm - winds less than 2 mph, with no precipitation or humidity and limited cloud cover. The balloon, with capsule attached, will move through the lower level of the atmosphere (the troposphere) where our day-to-day weather lives. It will climb higher than the tip of Mount Everest (5.

11、5 miles/8.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilometers) and into the stratosphere. As he crosses the boundary layer (called the tropopause),e can expect a lot of turbulence.The balloon will slowly drift to the edge of space at 120

12、,000 feet ( Then, I would assume, he will slowly step out onto something resembling an Olympic diving platform.Below, the Earth becomes the concrete bottom of a swimming pool that he wants to land on, but not too hard. Still, he'll be traveling fast, so despite the distance, it will not be like

13、diving into the deep end of a pool. It will be like he is diving into the shallow end.Skydiver preps for the big jumpWhen he jumps, he is expected to reach the speed of sound - 690 mph (1,110 kph) - in less than 40 seconds. Like hitting the top of the water, he will begin to slow as he approaches th

14、e more dense air closer to Earth. But this will not be enough to stop him completely.If he goes too fast or spins out of control, he has a stabilization parachute that can be deployed to slow him down. His team hopes it's not needed. Instead, he plans to deploy his 270-square-foot (25-square-met

15、er) main chute at an altitude of around 5,000 feet (1,524 meters).In order to deploy this chute successfully, he will have to slow to 172 mph (277 kph). He will have a reserve parachute that will open automatically if he loses consciousness at mach speeds.Even if everything goes as planned, it won't. Baumgartner still will free fall at a speed that would cause you and me to pass out, and no parachute is guaranteed to work higher than 25,000 feet (7,620 meters).cause there