6_2_Differential_Eq_Exponential_Growth_Decay

6_2_Differential_Eq_Exponential_Growth_Decay - 6.2...

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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 Calculus Home Page 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 Calculus Home Page Homework Part 1 Title: intro (2 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: direct proportion (3 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: inverse proportion (4 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page 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 Calculus Home Page 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 Calculus Home Page Homework Part 1 Title: growth & decay (7 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page 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 Calculus Home Page Homework Part 1 Title: examples (9 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: examples (10 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: examples (11 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: examples (12 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: examples (13 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: examples (14 of 15) 6.2 Differential Equations: Growth & Decay Class Notes: Prof. G. Battaly, Westchester Community College, NY Calculus Home Page Homework Part 1 Title: examples (15 of 15) ...
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This note was uploaded on 09/09/2011 for the course MATH 1431 taught by Professor Any during the Fall '08 term at University of Houston.

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