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Persamaan Differensial Homogin dengan Koef. Konstan

Persamaan Differensial Homogin dengan Koef. Konstan. Bentuk :. Operator Differensial Linier: f(D) = y Persamaan karakteristik: f(m) = 0. Akar f(m) semua riil dan berlainan. Misalkan akar-akar f(m) = 0 adalah m 1 ≠ m 2 ≠ m 3 ≠ m 4

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Persamaan Differensial Homogin dengan Koef. Konstan

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  1. Persamaan Differensial Homogin dengan Koef. Konstan Bentuk :

  2. Operator Differensial Linier: f(D) = y Persamaan karakteristik: f(m) = 0

  3. Akar f(m) semua riil dan berlainan • Misalkan akar-akar f(m) = 0 adalah m1≠ m2 ≠ m3 ≠ m4 Penyelesaian umum:

  4. Akar f(m) semua riil dan ada yang sama • Misalkan akar-akar f(m) = 0 adalah m1 = m2 ≠ m3 = m4. • Penyelesaian umum:

  5. Akar f(m) kompleks berlainan • Misalkan akar f(m) = 0 adalah m = a + bi • Penyelesaian umum:

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