7/24/2019 Oefening Diffiercatie
1/9
dy/dt 2
y(0) 3 m
delta 0.1 s
stap y delta y tijd (s)
0 3 0.2 0.1
1 3.2 0.2 0.22 3.4 0.2 0.3
3 3.6 0.2 0.4
4 3.8 0.2 0.5
5 4 0.2 0.6
6 4.2 0.2 0.7
7 4.4 0.2 0.8
8 4.6 0.2 0.9
9 4.8 0.2 1
10 5 0.2 1.1
11 5.2 0.2 1.212 5.4 0.2 1.3
13 5.6 0.2 1.4
14 5.8 0.2 1.5
15 6 0.2 1.6
16 6.2 0.2 1.7
17 6.4 0.2 1.8
18 6.6 0.2 1.9
19 6.8 0.2 2
20 7 0.2 2.1
21 7.2 0.2 2.2
22 7.4 0.2 2.3
23 7.6 0.2 2.4
24 7.8 0.2 2.5
25 8 0.2 2.6
26 8.2 0.2 2.7
27 8.4 0.2 2.8
28 8.6 0.2 2.9
29 8.8 0.2 3
30 9 0.2 3.1
31 9.2 0.2 3.2
32 9.4 0.2 3.3
33 9.6 0.2 3.4
34 9.8 0.2 3.5
35 10 0.2 3.6
36 10.2 0.2 3.7
37 10.4 0.2 3.8
38 10.6 0.2 3.9
39 10.8 0.2 4
7/24/2019 Oefening Diffiercatie
2/9
40 11 0.2 4.1
41 11.2 0.2 4.2
42 11.4 0.2 4.3
43 11.6 0.2 4.4
44 11.8 0.2 4.5
45 12 0.2 4.6
46 12.2 0.2 4.747 12.4 0.2 4.8
48 12.6 0.2 4.9
49 12.8 0.2 5
50 13 0.2 5.1
51 13.2 0.2 5.2
52 13.4 0.2 5.3
53 13.6 0.2 5.4
54 13.8 0.2 5.5
55 14 0.2 5.6
56 14.2 0.2 5.757 14.4 0.2 5.8
58 14.6 0.2 5.9
59 14.8 0.2 6
60 15 0.2 6.1
61 15.2 0.2 6.2
62 15.4 0.2 6.3
63 15.6 0.2 6.4
64 15.8 0.2 6.5
65 16 0.2 6.6
66 16.2 0.2 6.7
67 16.4 0.2 6.8
68 16.6 0.2 6.9
69 16.8 0.2 7
70 17 0.2 7.1
71 17.2 0.2 7.2
72 17.4 0.2 7.3
73 17.6 0.2 7.4
74 17.8 0.2 7.5
75 18 0.2 7.6
76 18.2 0.2 7.7
77 18.4 0.2 7.8
78 18.6 0.2 7.9
79 18.8 0.2 8
80 19 0.2 8.1
81 19.2 0.2 8.2
82 19.4 0.2 8.3
83 19.6 0.2 8.4
84 19.8 0.2 8.5
7/24/2019 Oefening Diffiercatie
3/9
85 20 0.2 8.6
86 20.2 0.2 8.7
87 20.4 0.2 8.8
88 20.6 0.2 8.9
89 20.8 0.2 9
90 21 0.2 9.1
91 21.2 0.2 9.292 21.4 0.2 9.3
93 21.6 0.2 9.4
94 21.8 0.2 9.5
95 22 0.2 9.6
96 22.2 0.2 9.7
97 22.4 0.2 9.8
98 22.6 0.2 9.9
99 22.8 0.2 10
100 23 0.2 10.1
7/24/2019 Oefening Diffiercatie
4/9
dy/dt= -2*y
dy/dt= -2*y -> dy=-2 y dt -> delta y = -2 y delta t 2
y(0) 100 m
delta t 0.1 s
stap y delta y tijd (s)
0 100 -20 0
1 80 -16 0.12 64 -12.8 0.2
3 51.2 -10.24 0.3
4 40.96 -8.192 0.4
5 32.768 -6.5536 0.5
6 26.2144 -5.24288 0.6
7 20.97152 -4.194304 0.7
8 16.77722 -3.355443 0.8
9 13.42177 -2.684355 0.9
10 10.73742 -2.147484 1
11 8.589935 -1.717987 1.112 6.871948 -1.37439 1.2
13 5.497558 -1.099512 1.3
14 4.398047 -0.879609 1.4
15 3.518437 -0.703687 1.5
16 2.81475 -0.56295 1.6
17 2.2518 -0.45036 1.7
18 1.80144 -0.360288 1.8
19 1.441152 -0.28823 1.9
20 1.152922 -0.230584 2
21 0.922337 -0.184467 2.1
22 0.73787 -0.147574 2.2
23 0.590296 -0.118059 2.3
24 0.472237 -0.094447 2.4
25 0.377789 -0.075558 2.5
26 0.302231 -0.060446 2.6
27 0.241785 -0.048357 2.7
28 0.193428 -0.038686 2.8
29 0.154743 -0.030949 2.9
30 0.123794 -0.024759 3
31 0.099035 -0.019807 3.1
32 0.079228 -0.015846 3.2
33 0.063383 -0.012677 3.3
34 0.050706 -0.010141 3.4
35 0.040565 -0.008113 3.5
36 0.032452 -0.00649 3.6
37 0.025961 -0.005192 3.7
38 0.020769 -0.004154 3.8
39 0.016615 -0.003323 3.9
7/24/2019 Oefening Diffiercatie
5/9
40 0.013292 -0.002658 4
41 0.010634 -0.002127 4.1
42 0.008507 -0.001701 4.2
43 0.006806 -0.001361 4.3
44 0.005445 -0.001089 4.4
45 0.004356 -0.000871 4.5
46 0.003484 -0.000697 4.647 0.002788 -0.000558 4.7
48 0.00223 -0.000446 4.8
49 0.001784 -0.000357 4.9
50 0.001427 -0.000285 5
51 0.001142 -0.000228 5.1
52 0.000913 -0.000183 5.2
53 0.000731 -0.000146 5.3
54 0.000585 -0.000117 5.4
55 0.000468 -9.4E-005 5.5
56 0.000374 -7.5E-005 5.657 0.000299 -6.0E-005 5.7
58 0.000239 -4.8E-005 5.8
59 0.000192 -3.8E-005 5.9
60 0.000153 -3.1E-005 6
61 0.000123 -2.5E-005 6.1
62 9.81E-005 -2.0E-005 6.2
63 7.85E-005 -1.6E-005 6.3
64 6.28E-005 -1.3E-005 6.4
65 5.02E-005 -1.0E-005 6.5
66 4.02E-005 -8.0E-006 6.6
67 3.21E-005 -6.4E-006 6.7
68 2.57E-005 -5.1E-006 6.8
69 2.06E-005 -4.1E-006 6.9
70 1.65E-005 -3.3E-006 7
71 1.32E-005 -2.6E-006 7.1
72 1.05E-005 -2.1E-006 7.2
73 8.42E-006 -1.7E-006 7.3
74 6.74E-006 -1.3E-006 7.4
75 5.39E-006 -1.1E-006 7.5
76 4.31E-006 -8.6E-007 7.6
77 3.45E-006 -6.9E-007 7.7
78 2.76E-006 -5.5E-007 7.8
79 2.21E-006 -4.4E-007 7.9
80 1.77E-006 -3.5E-007 8
81 1.41E-006 -2.8E-007 8.1
82 1.13E-006 -2.3E-007 8.2
83 9.05E-007 -1.8E-007 8.3
84 7.24E-007 -1.4E-007 8.4
7/24/2019 Oefening Diffiercatie
6/9
85 5.79E-007 -1.2E-007 8.5
86 4.63E-007 -9.3E-008 8.6
87 3.71E-007 -7.4E-008 8.7
88 2.96E-007 -5.9E-008 8.8
89 2.37E-007 -4.7E-008 8.9
90 1.90E-007 -3.8E-008 9
91 1.52E-007 -3.0E-008 9.192 1.21E-007 -2.4E-008 9.2
93 9.71E-008 -1.9E-008 9.3
94 7.77E-008 -1.6E-008 9.4
95 6.22E-008 -1.2E-008 9.5
96 4.97E-008 -9.9E-009 9.6
97 3.98E-008 -8.0E-009 9.7
98 3.18E-008 -6.4E-009 9.8
99 2.55E-008 -5.1E-009 9.9
100 2.04E-008 -4.1E-009 10
101 1.63E-008 -3.3E-009 10.1102 1.30E-008 -2.6E-009 10.2
7/24/2019 Oefening Diffiercatie
7/9
y(t)
7/24/2019 Oefening Diffiercatie
8/9
7/24/2019 Oefening Diffiercatie
9/9
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