partial fraction expansion (foster first form)

15
Partial Fraction Expansion; Foster First Form Contoh Soal:

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Page 1: partial fraction expansion (foster first form)

Partial Fraction Expansion; Foster First Form Contoh Soal:

Page 2: partial fraction expansion (foster first form)

Suku-suku mengandung >>> >>> >>>

Suku-suku mengandung >>> >>> >>>

Suku-suku mengandung >>> >>>

Suku-suku mengandung >>> >>>

>>> >>> >>> >>>

>>>

>>>

Page 3: partial fraction expansion (foster first form)

>>> >>> >>>

>>> >>>

Substitusi terhadap nilai-nilai yang telah diperoleh:

Solusi akhir:

Bandingkan dengan kunci jawaban:

Page 4: partial fraction expansion (foster first form)

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Contoh Soal:

Solusi akhir:

Page 5: partial fraction expansion (foster first form)

PENJABARAN AWAL

PERHATIKAN “PENYEBUT”: ……..!!!!!

MENGANDUNG SUKU: …..!!!!! MAKA “PEMBILANG” HARUS DISEDERHANAKAN DENGAN SUKU:

. Penjabaran Lanjutan:

ALTERNATIF PERTAMA:

ALTERNATIF KEDUA:

Page 6: partial fraction expansion (foster first form)

Dicoba ALTERNATIF PERTAMA:

Diambil suku:

Hasil perkalian:

Page 7: partial fraction expansion (foster first form)

Suku-suku mengandung >>> >>> >>>

Suku-suku mengandung >>> >>>

Suku-suku mengandung >>> >>>

>>> >>> >>> >>> >>>

>>>

>>>

>>>

>>>

SUBSTITUSI…….

Page 8: partial fraction expansion (foster first form)

HASIL ALTERNATIF PERTAMA:

>>> >>>

HASIL ALTERNATIF PERTAMA SOLUSI AKHIR…………………!!!!!

Dicoba ALTERNATIF KEDUA:

Page 9: partial fraction expansion (foster first form)

Diambil suku:

Hasil perkalian:

Page 10: partial fraction expansion (foster first form)

Suku-suku mengandung >>> >>> >>>

Suku-suku mengandung >>> >>>

Suku-suku mengandung >>> >>>

>>> >>> 4 >>> >>>

>>>

>>>

>>>

>>>

>>>

SUBSTITUSI…….

Page 11: partial fraction expansion (foster first form)

HASIL ALTERNATIF KEDUA:

>>> >>>

HASIL ALTERNATIF KEDUA SOLUSI AKHIR…………………!!!!!

Page 12: partial fraction expansion (foster first form)

KESIMPULAN: Soal:

DISELESAIKAN DENGAN “PARTIAL FRACTION EXPANSION” ATAU “FOSTER FIRST FORM” (KARENA BENTUK IMPEDANS), melalui:

Penjabaran Lanjutan: ALTERNATIF PERTAMA:

atau

ALTERNATIF KEDUA:

DIPEROLEH………………….

Page 13: partial fraction expansion (foster first form)

Solusi akhir:

++++++++++++++++++++++++++++++++++++++++++++++++++++++++

Continued Fraction Expansion >>> Cauer First Form (Cauer Series) >>> Cauer Second Form (Cauer Parallel) Contoh:

Selesaikan dengan Continued Fraction Expansion: “Cauer First Form (Cauer Series)”

Page 14: partial fraction expansion (foster first form)

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Gambar rangkaian:

Page 15: partial fraction expansion (foster first form)

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