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I need help with part d of this problem I did everything else  Please help me

I need help with part d of this problem I did everything else  Please help me

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help with part d of this problem I did everything else 

Please help me

At time t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 16 grams. The maximum weight of the culture is 80 grams. (a) Write a logistic equation that models the weight of the bacterial culture. (Round your coefficients to four decimal places.) 80 1 + 19e -0.5194t y = 33 g (c) When will the culture's weight reach 75 grams? (Round your answer to two decimal places.) 10.88 hr (d) Write a logistic differential equation that models the growth rate of the culture's weight. Then repeat part (b) using Euler's Method with a step size of h = 1. (Round your answer to the nearest whole number.) dy dt 19 (1-()) (1 - 50) In 11 y 3 80 y(5) = 32.33 5.669 (b) Find the culture's weight after 5 hours. (Round your answer to the nearest whole number.) Need Help? Read It X X g (e) At what time is the culture's weight increasing most rapidly? (Round your answer to two decimal places.) hr Master It
Transcribed Image Text:At time t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 16 grams. The maximum weight of the culture is 80 grams. (a) Write a logistic equation that models the weight of the bacterial culture. (Round your coefficients to four decimal places.) 80 1 + 19e -0.5194t y = 33 g (c) When will the culture's weight reach 75 grams? (Round your answer to two decimal places.) 10.88 hr (d) Write a logistic differential equation that models the growth rate of the culture's weight. Then repeat part (b) using Euler's Method with a step size of h = 1. (Round your answer to the nearest whole number.) dy dt 19 (1-()) (1 - 50) In 11 y 3 80 y(5) = 32.33 5.669 (b) Find the culture's weight after 5 hours. (Round your answer to the nearest whole number.) Need Help? Read It X X g (e) At what time is the culture's weight increasing most rapidly? (Round your answer to two decimal places.) hr Master It
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