单选题设y1(x)，y2(x)，y3(x)是二阶线性非齐次微分方程y"+p(x)y'+q(x)y=f(x)的三个线性无关解，C1，C2是任意常数，则此微分方程的通解是 (A) C1y1+C2y2+y3． (B) C1y1+C2y2+(1-C1-C2)y3． (C) C1y1+C2y2-(C1+C2)y3． (D) C1y1+C2y2-(1-C1-C2)y3．

单选题设y1(x)，y2(x)为二阶常系数齐次线性方程y"+py'+qy=0的两个特解，则c1y1(x)+c2y2(x)(c1，c2为任意常数)是该方程通解的充分必要条件是

单选题具有特解y1=e-x，y2=2xe-x，y3=3ex的三阶常系数齐次线性微分方程是 (A) y'"-y"-y'+y=0． (B) y'"+y"-y'-y=0． (C) y'"-6y"+11y'-6y=0． (D) y'"-2y"-y'+2y=0．

单选题如果y=cos2x是微分方程y'+P(x)y=0的一个特解，则该方程满足初始条件y(0)=2的特解为______ A．y=cos2x+2． B．y=cos2x+1． C．y=2cosx． D．y=2cos2x．

单选题已知y1=xex+e2x，y2=xex+e-x是二阶非齐次线性微分方程的解，则此方程为

单选题设an＞0(n=1，2，3，…)且收敛，常数λ∈(0，)，则级数______A．绝对收敛．B．条件收敛．C．发散．D．敛散性与A有关．

单选题微分方程的一个特解应具有形式(式中α，b为常数)

单选题微分方程y"+y=x2+2x+cox的特解可设为

单选题设y1(x)，y2(x)，y3(x)是二阶线性非齐次微分方程y"+p(x)y'+q(x)y=f(x)的三个线性无关解，C1，C2是任意常数，则此微分方程的通解是

单选题若在x=-1处收敛，则此级数在x=2处______A．条件收敛．B．绝对收敛．C．发散．D．收敛性不确定．

单选题Walt Disney could have built his biggest theme park anywhere. He chose Florida. The weather is balmy, and when it gets too hot there are lots of pools to cool off in, says. Meg Crofton, Walt Disney World's CEO'. Florida also offers plenty of space to expand. Disney World, which was first carved out of wild woodland in 1971, has swollen to four parks covering 40 square miles ( 104 sq km) and employing 60 000 "cast members". Contrary to the stereotype of rapid flow in the service sector, the average full-time employee sticks around for nine years. Florida's business climate is sunny, too. The Milken Institute, a think-tank in California, compiles an index of "best-performing cities" in America, a composite measure of such things as job creation, wage growth and whether businesses are thriving. In the most recent index, six of the top ten metropolitan areas are in Florida. ( Orlando-Kissimmee is sixth. ) And 18 of the top 30 are in the South. For a long time the South's weather got in the way of its development. Richard Pillsbury, a geography professor at Georgia State University, describes traditional life in the lowland South, a region stretching from northern Virginia down to the Gulf coast of Texas: "Smallish barren farms almost lost in the white heat of a hot and humid summer sun as the owners and their help fought swarms of mosquitoes to plant, cultivate and harvest the meagre cotton crop for market." Then air-conditioning came. As it spread after the World War Ⅱ, the South became suddenly more comfortable to live and work in. From the 1940s until the 1980s the region boomed. In his book Old South, New South, Gavin Wright lists four reasons why Federal defence spending stimulated growth. Sunshine attracted skilled professionals. The South, having developed so little in the past, was a "clean slate", without strong labour unions, entrenched bureaucracies, restrictive laws or outdated machinery. Lastly, given how much catching up the South had to do, the potential returns were higher than in the north. Southerners have prospered in part by playing to their traditional strengths. The fame of southern hospitality has bolstered the region's hotel chains, such as Holiday Inn. That of southern cuisine helps local restaurants, such as Waffle House, Cracker Barrel and KFC. Arkansas-based Wal-Mart, the world's largest retailer, has kept costs low by refusing to recognize unions. And Coca-Cola owes at least some of its success to its southern origins.

单选题级数(a为常数)______A．绝对收敛．B．条件收敛．C．发散．D．敛散性与a有关．

单选题微分方程y"-3y'+2y=3x-2ex的特解形式为

单选题若级数收敛，则级数______A．收敛．B．收敛．C．收敛．D．收敛．

单选题设φ1(x)，φ2(x)，φ3(x)为二阶非齐次线性方程y"+a1(x)y'+a2(x)y=f(x)的三个线性无关的解，则该方程的通解为______ A．C1[φ1(x)+φ2(x)]+C2φ3(x)． B．C1[φ1(x)-φ2(x)]+C2φ3(x)． C．C1[φ1(x)+φ2(x)]+C2[φ1(x)-φ3(x)]． D．C1φ1(x)+C2φ2(x)+C3φ3(x)，其中C1+C2+C3=1．

单选题微分方程y"+2y'+y=(x+1)e-x+2x+1有一个特解y*形式为 (A) y*=x(ax+b)e-x+(cx+d)． (B) y*=(ax+b)e-x+x2(cx+d)． (C) y*=x2(ax+b)e-x+(cx+d)． (D) y*=(ax+b)e-x+x(cx+d)．

单选题若y=xex+x是方程y"-2y'+ay=bx+c的解，则

单选题微分方程y"=y'的通解为______ A. y=C1+C2e2x B. y=C1+C2ex C. y=C1+C2x D. y=C1x+C2x2

单选题设为正项级数，下列结论中正确的是______A．若=0，则级数收敛．B．若存在非零常数λ，使得，则级数发散．C．若级数收敛，则=0．D．若级数发散，则存在非零常数λ，使得．

单选题设a，b，c为待定常数，则微分方程y"-3y'+2y=3x-2ex的特解形式为______ A．(ax+b)ex． B．(ax+b)xex． C．(ax+b)+cex． D．(ax+b)+cxex．