福师《常微分方程》在线作业二-0008

adminhan

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

若函数f(x,y)在整个Oxy平面有定义，连续和有界，同时存在关于y的一阶连续偏导，则dy/dx=f(x,y)的任一解可以延拓到R上
A:错误
B:正确

dy/dx=(x+y)/(x-y)是一阶齐次方程。
A:错误
B:正确

&nbsp;<img width="414" height="101" alt="" src="http://file.open.com.cn/ItemDB/11178/787a8b3e-296e-4209-b12e-f7b652c05da9/201056173925456.jpg" />
A:错误
B:正确

偏微分方程自变量个数不只一个
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/f4064a46.GIF"></IMG>
A:错误
B:正确

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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

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

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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

一阶微分方程的通解的图像是2维空间上的一族曲线
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/fsteacher9/20060930/d5418da6.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/6df1e1c2.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/81d7cb22.GIF"></IMG>
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/e3ede9d8.GIF"></IMG>
A:错误
B:正确

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A:错误
B:正确

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A:错误
B:正确

方程组dX/dt=A(t)X 的 n个线性无关解称之为dX/dt=A(t)X的一个基本解组.
A:错误
B:正确

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A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/f3c7eb53.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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/616303a6.GIF"></IMG>
A:错误
B:正确

y'=x不是微分方程
A:错误
B:正确

&nbsp;<img width="331" height="57" alt="" src="http://file.open.com.cn/ItemDB/11178/0e72fc6d-2b5a-451d-bee0-09e33fedeb96/20105617495271.jpg" />
A:错误
B:正确

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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

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A:错误
B:正确

函数sinx和cosx在任何区间上是线性无关的
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/d297c5ba.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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/0b51543b.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

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

<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/fsteacher9/20060930/d7c73a38.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/8ca7ae07.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/da370d4f.GIF"></IMG>
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/fd61363e.GIF"></IMG>
A:错误
B:正确

微分方程(dy/dx)^n+dy/dx-y+x=0 的阶数是n.
A:错误
B:正确

有些非齐次线性微分方程可以用比较系数法来解
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/5338c298.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

y1和y2是y''+py'+qy=0的两个特解，则y=C1y1+C2y2是此微分方程的通解
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/6d4f6a64.GIF"></IMG>
A:错误
B:正确