福师《常微分方程》在线作业二-0009

adminhan

dy/dx=x+y是变量可分离方程
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

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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/2fa415b0.GIF"></IMG>
A:错误
B:正确

&nbsp;<img width="449" height="78" alt="" src="http://file.open.com.cn/ItemDB/11178/63ab5152-0ed3-4b17-95ec-de35f1933340/201056174041911.jpg" />
A:错误
B:正确

微分方程的通解包含了它的所有的特解.
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

&nbsp;<img width="540" height="92" alt="" src="http://file.open.com.cn/ItemDB/11178/0d797438-ec46-4891-9011-3e447fba1032/201056175049509.jpg" />
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/d297c5ba.GIF"></IMG>
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

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

&nbsp;<img width="408" height="68" alt="" src="http://file.open.com.cn/ItemDB/11178/fe37d022-6f89-458e-a1f4-78e064395886/201056172428177.jpg" />
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/bde49bce.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/bb04a85d.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

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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/a3b2fbb2.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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/535c2ecb.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

&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

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

所有的微分方程都存在通解
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/fsteacher9/20060930/44b41336.GIF"></IMG>
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/400b8fc5.GIF"></IMG>
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/a5e97189.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

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

&nbsp;<img width="452" height="85" alt="" src="http://file.open.com.cn/ItemDB/11178/b1ad55ac-6c94-411e-8835-eece000f88eb/201056173252568.jpg" />
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

伯努利方程的形式是一阶非线性微分方程
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/69d401d7.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/c7d7cac5.GIF"></IMG>
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/2b609106.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/30f3e4ae.GIF"></IMG>
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/fsteacher9/20061010/fd61363e.GIF"></IMG>
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/398c3b00.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/fsteacher9/20061010/463bd041.GIF"></IMG>
A:错误
B:正确

&nbsp;<img width="289" height="50" alt="" src="http://file.open.com.cn/ItemDB/11178/1282f842-39ee-438a-b493-fa5fcbe328fb/201056172237267.jpg" />
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