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福师《常微分方程》在线作业二-0006

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发表于 2020-8-8 18:47:12 | 显示全部楼层 |阅读模式
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&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

y'=x不是微分方程
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/36249d52.GIF"></IMG>
A:错误
B:正确

n阶齐次线性微分方程的基本解组不唯一
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

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/fsteacher9/20060930/535c2ecb.GIF"></IMG>
A:错误
B:正确

函数1,t,t^2,t^3在任何区间都是线性相关的
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/fsteacher9/20060930/802b5715.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/fsteacher9/20060930/f9e18776.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/fsteacher9/20060930/da370d4f.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/fsteacher9/20061010/6d4f6a64.GIF"></IMG>
A:错误
B:正确

齐次线性方程任意两个解的和与差仍是它的解
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="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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/bd4b548b.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

&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/fsteacher9/20060930/6403b4be.GIF"></IMG>
A:错误
B:正确

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/9cd27399.GIF"></IMG>
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

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

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/fsteacher9/20061010/023bc2e7.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

方程x''+x=tant是齐次线性方程
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

n阶齐次线性方程的基本解组是唯一的
A:错误
B:正确

&nbsp;<img width="447" height="76" alt="" src="http://file.open.com.cn/ItemDB/11178/4efde1d9-99a0-4329-b732-90b3768f845d/201056172856420.jpg" />
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/fsteacher9/20060930/0b030058.GIF"></IMG>
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/5a17c176.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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20060930/a6c86993.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/fsteacher9/20061010/98a9a2ab.GIF"></IMG>
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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/3b3bbf94.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

dy/dx=(x+y)/(x-y)是一阶齐次方程。
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

<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/fsteacher9/20061010/91332872.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

<IMG SRC="http://file.open.com.cn/Lms/ItemDBAttachments/image/judge/fsteacher9/20061010/cd9e952d.GIF"></IMG>
A:错误
B:正确

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