4. du =u -1 dt du =v -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question #4 (only b.)

4. du
=u -1
dt
du
=v -1
Transcribed Image Text:4. du =u -1 dt du =v -1
Expert Solution
Solution 4:

The system is dudt=u-1 and dvdt=v-1.

The vector represented by it is u-1 , v-1

Take I quadrant:

At 0, 0=-1 , -1, at 1, 0=0 , -1, at 2, 0=1 , -1, at 2, 1=1 , 0at 0, 1=-1 , 0, at 0, 2=-1, 1, at 1, 2=0, 1, at 1, 1=0 , 0at 2, 2=1, 1

 

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