中央電大本科常微分方程試題1月小抄參考

1、專業(yè)好文檔試卷代號(hào)：1076中央廣播電視大學(xué)20092010學(xué)年度第一學(xué)期“開放本科”期末考試(半開卷)常微分方程 試題 2010年1月 一、填空題(每小題3分，本題共15分) 1一階變量可分離微分方程m()n(y)dc斗戶()q(y)如0的積分因子是_。 4二階方程y+()y十g()y0的等價(jià)方程組是 5如果函數(shù)組y1()，y2()在區(qū)間i上線性相關(guān)，那么它們的朗斯基行列式w()在區(qū)間i上一二、單項(xiàng)選擇題(每小題3分，本題共15分)6微分方程ylnydx+(x一1ny)dy0是( ) a. 線性方程 b可分離變量方程c. 全微分方程 d貝努利方程 a. 無(wú) b只有一個(gè) c. 只有兩個(gè)d有無(wú)窮

2、多個(gè) a. 鞍點(diǎn) b不穩(wěn)定結(jié)點(diǎn) c. 不穩(wěn)定焦點(diǎn) d穩(wěn)定焦點(diǎn) 三、計(jì)算題(每小題8分，本題共40分) 求下列方程的通解或通積分：四、計(jì)算題(本題共15分)五、證明題(本題共15分)試卷代號(hào)：1076中央廣播電視大學(xué)20092010學(xué)年度第一學(xué)期“開放本科”期末考試(半開卷)常微分方程 試題答案及評(píng)分標(biāo)準(zhǔn)(供參考) 2010年1月一、填空題(每小題3分，本題共15分)二、單項(xiàng)選擇題(每小題3分，本題共15分) 6a 7c 8a 9d 10b三、計(jì)算題(每小題8分，本題共40分)if we dont do that it will go on and go on. we have to stop

3、it; we need the courage to do it.his comments came hours after fifa vice-president jeffrey webb - also in london for the fas celebrations - said he wanted to meet ivory coast international toure to discuss his complaint.cska general director roman babaev says the matter has been exaggerated by the i

4、vorian 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 played without spectators because it is against the spirit of fo

5、otball 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 discrimination can be washed out of football.the (lack of) air up there wa

6、tch mcayman islands-based webb, the head of fifas anti-racism taskforce, is in london for the football associations 150th anniversary celebrations and will attend citys premier league match at chelsea on sunday.i am going to be at the match tomorrow and i have asked to meet yaya toure, he told bbc s

7、port.for me its about how he felt and i would like to speak to him first to find out what his experience was.uefa hasopened disciplinary proceedings against cskafor the racist behaviour of their fans duringcitys 2-1 win.michel platini, president of european footballs governing body, has also ordered

8、 an immediate investigation into the referees actions.cska said they were surprised and disappointed by toures complaint. 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 ear

9、ly as sunda.the weather plays an important role in this mission. starting at the ground, conditions have 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 tr

10、oposphere) where our day-to-day weather lives. it will climb higher than the tip of mount everest (5.5 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 t

11、ropopause),e can expect a lot of turbulence.the balloon will slowly drift to the edge of space at 120,000 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

12、, but not too hard. still, hell be traveling fast, so despite the distance, it will not be like 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 le

13、ss than 40 seconds. like hitting the top of the water, he will begin to slow as he approaches the 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. hi

14、s team hopes its not needed. instead, he plans to deploy his 270-square-foot (25-square-meter) 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 spe