Solutions (pdf file) - UC Davis Mathematics

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y’=3−2y
4
3.5
y0=2
3
y0=3
2.5
2
y
y0=3/2
1.5
1
0.5
y0=1
0
y0=0
−0.5
−1
−2
0
y0=−1/2
2
4
t
6
8
10
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y ’ = y2
4
3
y0=2
2
y0=1
y
1
0
y0=0
−1
y0=−1
−2
y0=2
−3
−4
−2
0
2
4
t
6
8
10
L
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4
(
A ’ = 3 10 − 4) (10 4) − A)
x 10
1.2
1.15
4
A =1.1x10
0
1.1
1.05
4
A
A =1x10
0
1
0.95
0.9
A =.9x104
0
0.85
0.8
0
2000
4000
6000
t
8000
10000
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y’=t+2y
y0=0
4
y0=−.249
2
y
0
−2
−4
y0=−1/4
−6
y0=−.251
y0=−1/2
−8
−2
0
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2
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6
8
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y’=−y+5
12
y0=10
y0=7
10
8
y0=5
y
6
4
2
y0=3
0
y =0
0
−2
−2
0
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6
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y’=2y−5
8
y =11/2
0
y0=7/2
6
4
y
y0=5/2
2
0
y =−1/2
−2
0
−2
y0=3/2
0
2
4
t
6
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