soal persamaan non linear

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x f(x) -1.0 -0.63212 -0.9 -0.49343 -0.8 -0.35067 -0.7 -0.20341 -0.6 -0.05119 -0.5 0.10653 -0.4 0.27032 -0.3 0.44082 -0.2 0.61873 -0.1 0.80484 0.0 1.00000 x f(x) -0.60 -0.05119 -0.59 -0.03567 -0.58 -0.02010 -0.57 -0.00447 -0.56 0.01121 -0.55 0.02695 -0.54 0.04275 -0.53 0.05860 -0.52 0.07452 -0.51 0.09050 -0.50 0.10653 -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.0 0 0 0 0 0 0 0 0 0 0 -0.63212 -0.49343 -0.35067 -0.20341 -0.05119 0.10653 0.27032 0.44082 0.61873 0.8048 Chart Title x f (x) -0.60 -0.59 -0.58 -0.57 -0.56 -0.55 -0.54 -0.53 -0.52 -0.51 -0.5 0 0 0 0 0 0 0 0 0 0 -0.05119 -0.03567 -0.02010 -0.00447 0.01121 0.02695 0.04275 0.05860 0.07452 0.09050 Chart Title x f (x)

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Page 1: Soal Persamaan Non Linear

x f(x)-1.0 -0.63212-0.9 -0.49343-0.8 -0.35067-0.7 -0.20341-0.6 -0.05119-0.5 0.10653-0.4 0.27032-0.3 0.44082-0.2 0.61873-0.1 0.804840.0 1.00000

x f(x)-0.60 -0.05119-0.59 -0.03567-0.58 -0.02010-0.57 -0.00447-0.56 0.01121-0.55 0.02695-0.54 0.04275-0.53 0.05860-0.52 0.07452-0.51 0.09050-0.50 0.10653

-1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.00 0 0 0 0 0 0 0 0 0 0

-0.63212-0.49343

-0.35067-0.20341

-0.051190.10653

0.270320.44082

0.618730.80484

1.00000

Chart Titlex f (x)

-0.60 -0.59 -0.58 -0.57 -0.56 -0.55 -0.54 -0.53 -0.52 -0.51 -0.500 0 0 0 0 0 0 0 0 0 0

-0.05119-0.03567

-0.02010-0.00447

0.011210.02695

0.042750.05860

0.074520.09050

0.10653

Chart Titlex f (x)

Page 2: Soal Persamaan Non Linear

2 7.389056

Page 3: Soal Persamaan Non Linear

x f(x)1.0 0.632120.9 0.493430.8 0.350670.7 0.203410.6 0.051190.5 -0.106530.4 -0.270320.3 -0.440820.2 -0.618730.1 -0.804840.0 -1.00000

x f(x)0.60 0.051190.59 0.035670.58 0.020100.57 0.004470.56 -0.011210.55 -0.026950.54 -0.042750.53 -0.058600.52 -0.074520.51 -0.090500.50 -0.10653

1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.00 0 0 0 0 0 0 0 0 0 0

0.632120.49343

0.350670.20341

0.05119-0.10653

-0.27032-0.44082

-0.61873-0.80484

-1.00000

Chart Titlex f (x)

0.60 0.59 0.58 0.57 0.56 0.55 0.54 0.53 0.52 0.51 0.500 0 0 0 0 0 0 0 0 0 0

0.051190.03567

0.020100.00447

-0.01121-0.02695

-0.04275-0.05860

-0.07452-0.09050

-0.10653

Chart Titlex f (x)

Page 4: Soal Persamaan Non Linear

x f(x)-1.0 -1.71828-0.9 -1.21364-0.8 -0.78043-0.7 -0.40963-0.6 -0.09327-0.5 0.17564-0.4 0.40327-0.3 0.59504-0.2 0.75572-0.1 0.889480.0 1.00000

x f(x)-0.60 -0.09327-0.59 -0.06435-0.58 -0.03590-0.57 -0.00791-0.56 0.01962-0.55 0.04671-0.54 0.07336-0.53 0.09957-0.52 0.12535-0.51 0.15070-0.50 0.17564

-1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.00 0 0 0 0 0 0 0 0 0 0

-1.71828

-1.21364

-0.78043

-0.40963-0.09327

0.175640.40327

0.595040.755720.889481.00000

Chart Titlex f (x)

-0.60 -0.59 -0.58 -0.57 -0.56 -0.55 -0.54 -0.53 -0.52 -0.51 -0.50

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

0.2

x f (x)

Page 5: Soal Persamaan Non Linear

-1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0.00 0 0 0 0 0 0 0 0 0 0

-1.71828

-1.21364

-0.78043

-0.40963-0.09327

0.175640.40327

0.595040.755720.889481.00000

Chart Titlex f (x)

-0.60 -0.59 -0.58 -0.57 -0.56 -0.55 -0.54 -0.53 -0.52 -0.51 -0.50

-0.15

-0.1

-0.05

0

0.05

0.1

0.15

0.2

x f (x)

Page 6: Soal Persamaan Non Linear

Metode Biseksi

Iterasi a b x f(x) f(a) Keterangan1 -1.00000 0.00000 -0.50000 0.175639 -1.718282 berlawanan tanda2 -1.00000 -0.50000 -0.75000 -0.587750 -1.7182823 -0.75000 -0.50000 -0.62500 -0.167654 -0.5877504 -0.62500 -0.50000 -0.56250 0.012782 -0.167654 berlawanan tanda5 -0.62500 -0.56250 -0.59375 -0.075142 -0.1676546 -0.62500 -0.59375 -0.60938 -0.120812 -0.1676547 -0.62500 -0.60938 -0.61719 -0.144085 -0.16765489

1011121314151617181920

-0.50000-0.75000-0.62500-0.56250-0.59375-0.60938-0.61719

0.17564-0.58775

-0.16765

0.01278-0.07514

-0.12081-0.14408

f (x)

Axis Title

Axis

Title

Page 7: Soal Persamaan Non Linear

a b x f(x) f(a) f(b)-0.5 1.648721 -1 0

-0.5

Page 8: Soal Persamaan Non Linear

Metode Regula fasi

Iterasi a b x f(x) f(a) f(b)

1 0 1 0.61270 0.07081 -1.00000 0.632122 0 0.6126998 0.57218 0.00789 -1.00000 0.070813 0 0.5721814 0.56770 0.00088 -1.00000 0.00789

0.61270

0.57218

0.56770

f (x)

Axis Title

Axi

s Ti

tle

Page 9: Soal Persamaan Non Linear

a b x fx fa fb-1 0 #NAME?

Page 10: Soal Persamaan Non Linear

Soal 5. metode iterasi sederhana

Iterasi x g(x) f(x)1 0.00000 1.00000 0.632122 1.00000 0.36788 -0.324323 0.36788 0.69220 0.191734 0.69220 0.50047 -0.105775 0.50047 0.60624 0.060856 0.60624 0.54540 -0.034227 0.54540 0.57961 0.019508 0.57961 0.56012 -0.011039 0.56012 0.57114 0.00626

10 0.57114 0.56488 -0.0035511 0.56488 0.56843 0.0020112 0.56843 0.56641 -0.00114

0.56641 0.56756 0.00065

1.00000

0.36788

0.69220

0.50047

0.60624

0.54540

0.57961

0.56012

0.57114

0.56488

0.63212-0.32432

0.19173-0.10577

0.06085 -0.034220.01950-0.01103

0.00626-0.00355

f (x)

Axis Title

Axis

Title

Page 11: Soal Persamaan Non Linear

1.00000

0.36788

0.69220

0.50047

0.60624

0.54540

0.57961

0.56012

0.57114

0.56488

0.63212-0.32432

0.19173-0.10577

0.06085 -0.034220.01950-0.01103

0.00626-0.00355

f (x)

Axis Title

Axis

Title

Page 12: Soal Persamaan Non Linear

Soal 5. metode iterasi sederhana

jika

Iterasi x x' f(x)

1 1.00000 0.36788 -0.324322 0.36788 0.69220 0.191733 0.69220 0.50047 -0.105774 0.50047 0.60624 0.060855 0.60624 0.54540 -0.034226 0.54540 0.57961 0.019507 0.57961 0.56012 -0.011038 0.56012 0.57114 0.006269 0.57114 0.56488 -0.00355

10 0.56488 0.56843 0.00201

11

12 0.00000 -1.00000 -0.63212

-0.8 -1.24932896412

2

x - e -x = 0, di xo = 1

1.00000

0.36788

0.69220

0.50047

0.60624

0.54540

0.57961

0.56012

0.57114

0.56488

-0.324320.19173

-0.105770.06085 -0.03422

0.01950-0.01103

0.00626-0.003550.00201

f (x)

Axis Title

Axis

Title

Page 13: Soal Persamaan Non Linear

1.00000

0.36788

0.69220

0.50047

0.60624

0.54540

0.57961

0.56012

0.57114

0.56488

-0.324320.19173

-0.105770.06085 -0.03422

0.01950-0.01103

0.00626-0.003550.00201

f (x)

Axis Title

Axis

Title

Page 14: Soal Persamaan Non Linear

Metode Newton raphson

Column1 x Column2

0.0000000 -1.0000000 2.0000000

0.5000000 -0.1065307 1.6065307

0.5663110 -0.0013045 1.5676155 -0.5

0.5671432 -0.0000002 1.5671434

Selesaikan persamaan x - e-x = 0 dengan titik pendekatan awal x0 =0

F(xn) F'(xn)

X0

X1

X2

X3

0.0000000 0.5000000 0.5663110 0.5671432

Column C

Axis Title

Axi

s Ti

tle

Page 15: Soal Persamaan Non Linear
Page 16: Soal Persamaan Non Linear

Iterasi x

1.000000 -0.801234 0.491674

2.629604 0.566743 1.027535

2.078048 0.017241 0.951394

2.059926 0.000036 0.947372X4 2.059888 0.000000 0.947364

F(xn) F'(xn)

X0

X1

X2

X3

Page 17: Soal Persamaan Non Linear

Iterasi x

0.5000000 0.8435676 -1.3796766

1.1114242 -0.2410602 -1.6263491

0.9632025 0.0194632 -1.8608250

0.9736619 0.0000561 -1.8499463X4 0.9736923 0.0000000 -1.8499134

F(xn) F'(xn)

X0

X1

X2

X3