Find the solution of the ivp by solving the de

Assignment Help Civil Engineering
Reference no: EM13309377

A campus has 5000 students. After the Christmas break one student returns carrying a flu virus. Assume that the rate at which the virus spreads is proportional to the number of infected students P(t), but also to the number 5000P(t) of students not yet infected. Here time is measured in days.

(a) Our assumptions mean that the function P(t) satisfies the initial value problem, dP dt = kP(5000 P), P(0) = 1 where the parameter k is initially unknown. Find the solution of this IVP by solving the DE as a separable equation.

(b) After seven days 50 students are infected. Use this to determine the parameter k .

(c) How long does it take before 10 percent of the students are infected?

Reference no: EM13309377

Questions Cloud

Determine what is the largest allowable magnitude of f2 : A square with the dimensions of .02m by .02m by .5m is attatched to a solid surface. If the forces on the rod are too large, it will either crush or be sheared off where it is atatched to the solid surface.
What would be the osmotic pressure of the protein solution : A membrane has pure water on one side of it, and a protein solution on the other side. The membrane has pores equivalent in size to a spherical molecule with a molecular weight (Mm) of 120,000 daltons.
Obtain the buoyant force acting on the object in newtons : An object falls off of a pier and into the ocean (sea water) where it displaces a total volume of 3.7 cubic meters of sea water
Explain naome is used to form zaitsev is the solvent meoh : When Adding H2so4 to form alkene from alcohol what is the solvent used? is it just heat. What about when forming alkene from alkyl halide and NaOMe is used to form Zaitsev is the solvent MeOH. and what should be used to form Hoffman with t-BuOKC
Find the solution of the ivp by solving the de : After the Christmas break one student returns carrying a flu virus. Assume that the rate at which the virus spreads is proportional to the number of infected students P(t), but also to the number 5000P(t) of students not yet infected.
Describe a viable solution for issue : Write a 1.050 to 1,400 word paper summarizing the results of the analysis. Include the following: Identify ethical perspectives in the global organization. Compare these perspectives across cultures involved in the organization.
What is the composition of the liquid phase : At a given temperature, a hypothetical A-B alloy of composition 40wt% B- 60wt% A is found to be 66wt% \alpha and 34wt% liquid phase L. If the composition of the \alpha is 13wt% B-87wt% A, what is the composition of the liquid phase? Note, if you grap..
Explain what ph should be sodium dihydrogen phosphate : what this pH should be. A. 0.10 M phosphoric acid (H3PO4) B. 0.10 M sodium dihydrogen phosphate (NaH2PO4; the monobasic salt which contains H2PO4-ions) C. 0.10 M sodium hydrogen phosphate (Na2HPO4
How many meters of the block will be above the oil : a 2m cube of block is placed on oil ( SG= 0.8). if the SG of the block is 0.6, how many meters of the block will be above the oil

Reviews

Write a Review

Civil Engineering Questions & Answers

  Determine the number of revolutions exected by gear a

A load is to be raised 20 ft by the hoisting system. Assuming Gear A is initially at rest, accelerates uniformly to a speed of 120 rpm , determine (a) the number of revolutions exected by gear A in raising the load. (b) The time required to raise ..

  Calculate the principle of shoring system

how to calculate the principle of shoring system in formwork analysis when the secondly floor upper has been poured ?

  What is the probability of no health hazard in 30 days

Air pollution in a city is caused by the following four sources: vehicle exhaust (V), industrial exhaust (I), dust (D), and pollen from plants and trees (T). On a particular day, the likelihood of air pollution caused by these sources is 4:3:2:1, ..

  Determine moment of inertia of beams cross-sectional area

Determine the moment of inertia of the beam's cross-sectional area about the x-axis. Set a = 40mm , b = 130mm , d = 110mm , h = 380mm .

  Determine the volumetric flow rate in each 15-cm duct

Air enters an electrical furnace at 20oC, 100 kPa, with a volumetric flow rate of 30 m3/min. The furnace delivers air at 40oC to a duct system with three branches consisting of two 15-cm-diameter ducts and a 30-cm-diameter duct.

  Describe the equation for discharging a water tank

Describe the equation for discharging a water tank. Use: H= 2m, A_s= 1m^2, density water= 1000kg/m^3, K = 1kg hr^-1 m^-1/2 Mass flow in = 0 and mass flow out given by, Mass flow out = K z^1/2.

  Crash at a railroad crossing

Due to a crash at a railroad crossing, an overpass is to be constructed on an existing level highway. the existing highway has a design speed of 50 mi/h.

  Find the capacity of the main channel and the lateral extent

Field tests have shown that the Horton equation best describes the composite roughness of the channel. Find the capacity of the main channel and the lateral extent of the floodplains for a 100-year flow of 1590m^3/s.

  Determine what is the mass of the particles collected

a stream f gas flowing at 3000 cfm has a particulate loading of 50gr/ft what is the allowable exit loading if 95 % collection efficiency is required. what is the mass of the particles collected

  Determine how far would the chain extend

Suppose that all the dislocations in 1000 mm^3 (1 cm^3) were somehow removed and linked together end-to-end. How far (in miles) would this chain extend

  Find the probability that temperature exceeds 58 degree f

The following data are the temperatures (in °F) of effluent at discharge from a sewage treatment facility on consecutive days: 43 47 51 48 52 50 46 49 45 52 46 51 44 49 46 51 59 45 44 50 48 50 49 50

  Draw a mohrs circle and solve for max shear forces

You are given a mohrs circle with 10 kPa (assume positve since geotech question) in compression for sigmaz and 2 kPa (+ counterclockwise) force for shear z. This force lies on a plane 15 degrees CW.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd