Unformatted text preview: 6.2 Differential Equations: Growth & Decay HW: p. 418 # 113, 1723, 31, 7376 Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: intro (1 of 15) 6.2 Differential Equations: Growth & Decay Consider the problem: b) If P(2) = 700, find k. c) Find lim P(t) t >infinity Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: intro (2 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: direct proportion (3 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: inverse proportion (4 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: varies jointly (5 of 15) 6.2 Differential Equations: Growth & Decay Easy (this is what we have done already): rate of change varies with independent variable Different: rate of change varies directly with dependent variable. Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: dy/dx = ky (6 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: growth & decay (7 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: examples of setup (8 of 15) 6.2 Differential Equations: Growth & Decay Exponential Growth or Decay:
Rate of change varies directly with the dependent variable. Examples: dy/dx = ky dP/dt = kP dy/dx = k(y+1) dP/dt = k(200P) Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: examples (9 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: examples (10 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: examples (11 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: examples (12 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: examples (13 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: examples (14 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY
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Homework Part 1 Title: examples (15 of 15) ...
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 Fall '08
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 Differential Equations, Equations, Derivative, Westchester Community College, Calculus Home Page, Prof. G.

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