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In a dilapidated abandoned building, a cockroach population C(t) (where t is the time in years) undergoes yearly seasonal variations such that the growth rate of population is proportional to a fraction aC(t) of the total popula- tion, where a = cos² zt. Initially, the population is Co > 0. What is the maximum value that C(t) can attain? Note that for k ☆ 0: sin(2kt) 4k

In a dilapidated abandoned building, a cockroach population C(t) (where t is the time in years) undergoes yearly seasonal variations such that the growth rate of population is proportional to a fraction aC(t) of the total popula- tion, where a = cos² zt. Initially, the population is Co > 0. What is the maximum value that C(t) can attain? Note that for k ☆ 0: sin(2kt) 4k

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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Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W % Cut =。三,年 外T A Find - Calibri (Body) - 11 - A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy ae Replace B I U U - abe x, x² ab A I Normal I No Spaci. Heading 1 Paste A Change . Heading 2 Title Subtitle Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing • 2. 1:. I' 2: 1 : 3:1 • 4.I 5.1' 6.1'7 I'8: 1 9 ' 10.L· 11: 1 ' 12.'13 · L 14: 1· 15.1A L'17:1 18 QUESTION 1 In a dilapidated abandoned building, a cockroach population C(t) (where t is the time in years) undergoes yearly seasonal variations such that the growth rate of population is proportional to a fraction aC(t) of the total popula- tion, where a = cos? nt. Initially, the population is Co > 0. What is the maximum value that C(t) can attain? Note that for k + 0: t sin(2kt) 4k 2 TO .ll 07:49 AM 2021-10-27 Page: 1 of 1 Words: 0 E EA E E E 100% - +)
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W % Cut =。三,年 外T A Find - Calibri (Body) - 11 - A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy ae Replace B I U U - abe x, x² ab A I Normal I No Spaci. Heading 1 Paste A Change . Heading 2 Title Subtitle Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing • 2. 1:. I' 2: 1 : 3:1 • 4.I 5.1' 6.1'7 I'8: 1 9 ' 10.L· 11: 1 ' 12.'13 · L 14: 1· 15.1A L'17:1 18 QUESTION 1 In a dilapidated abandoned building, a cockroach population C(t) (where t is the time in years) undergoes yearly seasonal variations such that the growth rate of population is proportional to a fraction aC(t) of the total popula- tion, where a = cos? nt. Initially, the population is Co > 0. What is the maximum value that C(t) can attain? Note that for k + 0: t sin(2kt) 4k 2 TO .ll 07:49 AM 2021-10-27 Page: 1 of 1 Words: 0 E EA E E E 100% - +)
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