福师《常微分方程》在线作业一-0006

adminhan

dy/dx=(x+y)/(x-y)是一阶齐次方程。
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/fd61363e.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/0b51543b.GIF"></IMG>
A:错误
B:正确

&nbsp;<img width="281" height="67" alt="" src="http://file.open.com.cn/ItemDB/11178/e6afeae5-eb41-4dcb-a486-10763699c30b/20105617472549.jpg" />
A:错误
B:正确

(dy/dx)^2+y^2-1=0的奇解是y=±1
A:错误
B:正确

n阶齐次线性方程的任意两个解之和也是该方程的解
A:错误
B:正确

题目如图<img height="37" width="435" alt="" src="http://file.open.com.cn/ItemDB/11178/c8e5cfd6-1711-463f-81f5-e998d9790d64/2008101611292883.jpg" />
A:错误
B:正确

n阶非齐次线性方程的任意两个解之差也是该方程的解
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/535c2ecb.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/0dedf33d.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/802b5715.GIF"></IMG>
A:错误
B:正确

一阶微分方程的通解的包络如果存在的话一定是奇解
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/463bd041.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/2ecb10ec.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/4f399d80.GIF"></IMG>
A:错误
B:正确

&nbsp;<img width="221" height="78" alt="" src="http://file.open.com.cn/ItemDB/11178/aafa1b11-597a-4a97-a2b0-18dfe3810ad0/2010561768439.jpg" />
A:错误
B:正确

&nbsp;<img width="304" height="59" alt="" src="http://file.open.com.cn/ItemDB/11178/a7563626-c23e-43a8-a12c-797c7c2e186f/20105617122185.jpg" />
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/98a9a2ab.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/b8ddef7d.GIF"></IMG>
A:错误
B:正确

方程y''+4y=0的基本解组是cos2x,sin2x.
A:错误
B:正确

若函数x1(t),x2(t),…,xn(t)在区间[a,b]上的朗斯基行列式恒为0，则它们线性相关
A:错误
B:正确

齐次线性微分方程组 dY/dx=A(x)Y的线性无关解的个数不能多于n个.
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/3532b848.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/f340155d.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/d7c73a38.GIF"></IMG>
A:错误
B:正确

&nbsp;<img width="205" height="65" alt="" src="http://file.open.com.cn/ItemDB/11178/ed399a2b-543e-47e4-a3a2-4202495e6b8a/201056174459935.jpg" />
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/9e39df33.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/de12daf9.GIF"></IMG>
A:错误
B:正确

dy/dx=x+y是变量可分离方程
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/fafeaa3a.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/f5bf3a26.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/5338c298.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/955a13f2.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/f9e28e45.GIF"></IMG>
A:错误
B:正确

题目如图<img height="24" width="405" alt="" src="http://file.open.com.cn/ItemDB/11178/b5b3a5de-7fd4-4d29-92e9-c24c04b0cf1a/20081016112821276.jpg" />
A:错误
B:正确

若f′y(x,y)在R上连续，则函数f(x,y)满足利普希茨条件
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/023bc2e7.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/72559c7e.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/401ee4c5.GIF"></IMG>
A:错误
B:正确

伯努利微分方程可以转化为线性微分方程
A:错误
B:正确

题目如图<img height="29" width="240" alt="" src="http://file.open.com.cn/ItemDB/11178/876a2afe-83a2-481c-abcc-0b5701b6c13e/2008101611275647.jpg" />
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/a3b2fbb2.GIF"></IMG>
A:错误
B:正确

&nbsp;<img width="441" height="78" alt="" src="http://file.open.com.cn/ItemDB/11178/ba25409d-79b5-4a19-aced-ddb698ba8fb4/201056172127406.jpg" />
A:错误
B:正确

题目如图<img alt="" src="http://file.open.com.cn/ItemDB/11178/9522b8f4-0890-412d-a618-020fae68b7d0/20081016112845911.jpg" />
A:错误
B:正确

若A为n×n矩阵，则对任意常数c1,c2，有exp(c1 A+c2 A）=expc1 A·expc2 A
A:错误
B:正确

若y=φ1(x),y=φ2(x) 是二阶线性齐次微分方程的基本解组，则它们线性无关.
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/3a04fd0c.GIF"></IMG>
A:错误
B:正确

方程ydx-xdy=0 的一个积分因子是1/x^2。
A:错误
B:正确

n阶齐次线性微分方程的线性无关解的最大个数等于n
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/84919688.GIF"></IMG>
A:错误
B:正确