---

Overview

Zadanie 1
Zadanie 2
Zadanie 4
Zadanie 5

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Sheet 1: Zadanie 1

Zadanie 1

a = 1

b = 2

c = 3

d = 4

zła odjemna!

zła odjemna!

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Sheet 2: Zadanie 2

Zadanie 2
	a = 1	b =2	c = 3	d = 4
	+y(n+5)	-5y(n+4)	+10y(n+3)	-10y(n+2)	+5y(n+1)	-y(n)
		+2y(n+4)	8y(n+3)	-12y(n+2)	+8y(n+1)	+2y(n)	=[u(n+1)-u(n)]+u(n)
				+3y(n+2)	-12y(n+1)	+6y(n)
						+4(n)
	czyli
															zgubił Pan u(n+1)
	n	y(n)	y(n+1)	y(n+2)	y(n+3)	y(n+4)	y(n+5)
	0	0	0	0	0	0	1
	1	0	0	0	0	1	5
	2	0	0	0	1	5	0
	3	0	0	1	5	0	-67
	4	0	1	5	0	-67	-102
	5	1	5	0	-67	-102	894
	6	5	0	-67	-102	894	3217
	7	0	-67	-102	894	3217	-8304
	8	-67	-102	894	3217	-8304	-65252
	9	-102	894	3217	-8304	-65252	14669
	10	894	3217	-8304	-65252	14669	1051303

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Sheet 3: Zadanie 4

Zadanie 4
		+y(n+3)	-y(n+2)	+y(n+1)	-y(n)	złe współczynniki!
			+2y(n+2)	-4y(n+1)	2y(n)
				3y(n+1)	-3y(n)	=f(n+1)	czyli
					4y(n)
A						B						C
n	y(n-3)	y(n-2)	y(n-1)	y(n)		n	y(n-3)	y(n-2)	y(n-1)	y(n)		n	y(n-3)	y(n-2)	y(n-1)	y(n)
0	0	0	0	12		0	0	0	0	-2		0	0	0	0	1
1	0	0	12	-9		1	0	0	-2	1		1	0	0	1	0
2	0	12	-9	9		2	0	-2	1	-1		2	0	1	0	1
3	12	-9	9	-42		3	-2	1	-1	8		3	1	0	1	-3
4	-9	9	-42	81		4	1	-1	8	-9		4	0	1	-3	4
5	9	-42	81	-81		5	-1	8	-9	15		5	1	-3	4	-6
6	-42	81	-81	255		6	8	-9	15	-35		6	-3	4	-6	16
7	81	-81	255	-423		7	-9	15	-35	67		7	4	-6	16	-27
8	-81	255	-423	774		8	15	-35	67	-106		8	-6	16	-27	46
9	255	-423	774	-1392		9	-35	67	-106	218		9	16	-27	46	-93
10	-423	774	-1392	2853		10	67	-106	218	-411		10	-27	46	-93	175

---

Sheet 4: Zadanie 5

Zadanie 5
	T = T1 / 4
	T / T1 =	0,25
		n	0	1	2	3	4	5	6	7	8	9	10
		t / T1	0	0,25	0,5	0,75	1	1,25	1,5	1,75	2	2,25	2,5
		y(n-1)	0	0	2,5	4,375	5,78125	6,8359375	7,626953125	8,22021484375	8,6651611328125	8,99887084960938	9,24915313720703
		y(n)	0	2,5	4,375	5,78125	6,8359375	7,626953125	8,22021484375	8,6651611328125	8,99887084960938	9,24915313720703	9,43686485290527
		h(t)	0	2,21199216928595	3,93469340287367	5,27633447258985	6,32120558828558	7,1349520313981	7,7686983985157	8,26226056549555	8,64664716763387	8,94600775438136	9,17915001376101
	T = T1 / 5
	T / T1 =	0,2
		n	0	1	2	3	4	5	6	7	8	9	10
		t / T1	0	0,2	0,4	0,6	0,8	1	1,2	1,4	1,6	1,8	2
		y(n-1)	0	0	2	3,6	4,88	5,904	6,7232	7,37856	7,902848	8,3222784	8,65782272
		y(n)	0	2	3,6	4,88	5,904	6,7232	7,37856	7,902848	8,3222784	8,65782272	8,926258176
		h(t)	0	1,81269246922018	3,29679953964361	4,51188363905974	5,50671035882778	6,32120558828558	6,98805788087798	7,53403036058394	7,98103482005345	8,34701111778413	8,64664716763387
	T1	t	h(t)
	10	0	0
		1	0,951625819640405
		2	1,81269246922018
		3	2,59181779318282
		4	3,29679953964361
		5	3,93469340287367
		6	4,51188363905974
		7	5,03414696208591
		8	5,50671035882778
		9	5,93430340259401
		10	6,32120558828558
		11	6,67128916301921
		12	6,98805788087798
		13	7,27468206965987
		14	7,53403036058394
		15	7,7686983985157
		16	7,98103482005345
		17	8,17316475947265
		18	8,34701111778413
		19	8,50431380777365
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		21	8,77543571747018
		22	8,89196841637666
		23	8,99741156277196
		24	9,09282046710588
		25	9,17915001376101
		26	9,25726421785666
		27	9,3279448726025
		28	9,39189937374782
		29	9,44976779943593
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		31	9,54950797606442
		32	9,59237796021634
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		47	9,90904722898304
		48	9,9177025295098					oś pozioma musi być osią czasu w sekundach, a nie kolejnymi punktami pomiarowymi!
		49	9,92553416929076
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