An integrating factor for the equation - yisa. e-*d. 11/8b. ee. There is no integrating factorС.ез

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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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Daniel Bernoulli's work in 1760 had the goal of appraising the effectiveness of a controversial inoculation program against smallpox, which at that time was a major threat to public health. His model applies equally well to any other disease that, once contracted and survived, confers a lifetime immunity. Consider the cohort of individuals born in a given year (t = 0), and let n(t) be the number of these individuals surviving t years later. Let x(t) be the number of members of this cohort who have not had smallpox by year t and who are therefore still susceptible. Let 3 be the rate at which susceptibles contract smallpox, and let v be the rate at which people who contract smallpox die from the disease. Finally, let µ(t) be the death rate from all causes other than smallpox. Then dx/dt, the rate at which the number of susceptibles declines, is given by d = −(B+ µ(t))x. The first term on the right-hand side of this equation is the rate at which susceptibles contract smallpox, and the…
The answers are already provided, please provide the complete solution please. For 5 and 6
السؤال الثامن L, sgn(x – 2)dx = 1. 0 2. 2 3. -2 4. -1 3 محو التحديد 4.
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An integrating factor for the equation - y =e¯x/3 is dx 8. a. e-* d. 11/8 b. e e. There is no integrating factor с. ез