Hp 48G Instrukcja Użytkownika Strona 95
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Oceniono. / 5. Na podstawie oceny klientów
Lesson 33: Differential Equations
The examples in this lesson show you how to solve an initial-value
prolilem for a first-order differential equation and how to plot a phase
plane solution of a differential equation.
Example: Find y{t) for t = 8 where Y'{T) = - 2Y~ and
y(0) = 0. Find the answer to within an error tolerance of
KFE
Step 1: Select e d i
(ENTER)
in the SOLVE application.
Ш
F:
INDEP: X INIT: 0 FINflL:6.5
SDLN: Y INIT: 0 FINHL:
TDL:.0001 STEP: Df It _ STIFF
EHTEF; FUNCTION OF INDEP flND SPIN
Step 2: Enter the right hand expression (^ 2V'-) into F'. Notice
that the variables appear in the menu as soon as you begin
the command line, so that you can use them as typing aids.
CD 1 © ai i SD © T [V
2 ® 0 2 ® Y (zD 2
(ENTER) (3 T (ENTER)
p: ' 1/(1+T2^'-2*Y'''2'
INDEP: T INIT: Is—FINF|L:F.. S
SDLN: V INIT: 0 FINAL:
TDL:.0001 STEP: Df It _ STIFF
ENTER INITIAL INDEP VAR VALUE
BiilTMMBBiMMMIIilll li) III I |l|l| I
Step 3: Check the remaining fields. You are using the default values
for the solution (Y) variable name as well as for the initial
values (0 and 0). You can use the default value for
(the iterative step size) as well. Change the final value for
to 8, and the tolerance to 1E--7.
(© 8 (ENTER)
(T] 1 (EEX I 7 (V-1 (ENTER)
p: '1 .■■■■ < 1 +T''-2 ) -2*Y-''2'
INDEP: X INIT: 0 FINAL: 8
SDLN: Y INIT: 0 FINAL:
TDL:.000,„ STEP: 1^03 _STIFF
ENTER INITIAL STEP SIZE
1МШ1 тжюзт
Calculus, Statistics and Advanced Mathematics 7-11
- Start Guide 1
- Regulatory Information 2
- HP Part No. 00048-90126 3
- Printed in Singapore 3
- Edition 5 3
- Acknowledgements 4
- Edition History 4
- Contents-1 5
- Contents-2 6
- Contents-3 7
- Start Here 1-1 9
- About the Quick Start Guide 10
- Lesson 1: Getting Ready 11
- Setting the Time and Date 12
- Introducing the HP 48 2-1 13
- 2-2 Introducing the HP 48 14
- Envisioning the Stack 15
- 2-4 Introducing the HP 48 16
- Introducing the HP 48 2-5 17
- { HOME > 18
- (ENTER), or 19
- (CANCEL) 19
- (ENTER), or (CANCEL) 19
- Special Characters 20
- Lesson 4: Using Menus 21
- \/x'’ -f 5 22
- MalrirWrHer entry 23
- Application Environments 24
- Solk^e я'-1зс1,., T 25
- Introducing the HP 48 2-13 25
- Using External Programs: (g) 26
- Using Built-In Equations: O 26
- ■iid№giat5M5iatti;ia»«Mi 27
- Introducing the HP 48 2-15 27
- Arithmetic 29
- (ENTER) 1.2 (ENTER) 30
- : .0025 31
- : 350.174049835 31
- 1: 17.2413793103 32
- 350.174049835 32
- \ ^\ 33
- (A) key 34
- Functions 35
- 1666666666? 36
- '13-^6' 36
- 1= 'EXPC-a*x)' 37
- 'l-EKPC-a*x)' 37
- 1: (3,4) 38
- (5.39^158.2) 38
- S) 9 4 (ENTER) 39
- 4 PTC) f^-) 3 39
- Q 2 (o 40
- Converting Units 42
- 1: 3.5_N*P1 43
- V>^mg Pterin-ary 45
- 11 (using fSTO )) 48
- Step 2: Enter the name tl 48
- 1: 1.73205080757 49
- ®(S® MOVE 51
- 52
- 'HP 48G4" 52
- ■"■■CHK 53
- Solving Equations 5-1 55
- BiaiaHTiTiTHHB 56
- 5-2 Solving Equations 56
- EQUftTIDN^^« 57
- Solving Equations 5-3 57
- Discontinuity 58
- Solving Equations 5-5 59
- A: gilBi№ i 60
- 1: 'TH=Q©/fl+TL' 61
- 5-8 Solving Equations 62
- [112-53-6] 63
- Solving Equations 5-9 63
- I'- Roots' 64
- Equations 65
- SOLVE SVSTEM 66
- Plotting Egyatioii-s and 67
- CD iS^ (ENTER) 68
- Function 69
- X H-VIEN: “6.5 69
- TVPE; Function [ggBB 69
- 0= Df It Hi: Df It 70
- 10 V-TICK: 10 ¿PIKELS 70
- '2*SIN<„ 71
- CHOnSE TYPE gp PLDT 72
- Dimensions 73
- TVPE: Nireframe Rad 74
- 74
- -2 2E: 1 75
- HP 48 Plot Types 76
- IlilLiliilliiUi,. 77
- T . Ml.- 77
- ‘^lll 1' ^ I'l ‘ 77
- HP 48 Plot Types (continued) 78
- (F(u,f) = 78
- U, v)j + c( ti, tt)k) 78
- ClJ ly C±D ©X O 4 79
- ©X (ZD 2 © © ©X Q 4 79
- R 0 0" 80
- ,,,A' 80
- F C H S L. 0 P E 81
- 3= Slope: .072 82
- £: TanLine: 'Y=-l.i01„ 82
- C. 159483706477,-3 82
- X-values you designate 83
- Symbolic 87
- Lesson 30: Finding Integrals 88
- IBQZHIBiM 89
- '^'Im 91
- ■ ■ ■^-2711 91
- TYPE: Sample 92
- 93
- I FIT DfiTfli 93
- Correlation: .987Z„ 94
- 1: Couariance: 94
- 0 2 ® Y (zD 2 95
- £: Tolerance: 96
- 1: Solution: 96
- . 1£3076920%9 96
- (EEX) 7 fENTER) 97
- (ENTER) 8 (ENTER) (Q 97
- (ENTER) 1 (ENTER) 97
- 2: [[ 1 .5 1 ] [ -.2. 98
- 1: [ -3 5 -3 ] 98
- Special Features 8-1 99
- 2. Receiver 100
- ■3. Sender 100
- Equation Library 101
- KiïïwnBtauoaBjHiiSÉiaiiMifl 102
- u0= £5.44-pi--'5 103
- { vq ) , and then 104
- 3. Pms^O (NXT)HTTFiC 105
- To use a library, it must be: 106
- If Things Go Wrong 107
- (or any other key) 107
- Lesson 39: Troubleshooting 108
- ■ Reset hole 109
- HP 48G Senes User’s Guide 110
- Contacting Hewlett-Packard 115
- Contents 116
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