Solve differential equations with initial conditions

Assignment Help Mathematics
Reference no: EM1317842

Solving differential equations with initial conditions

How much would it cost to solve this one:

Suppose organisms grow in mass according to the differential equation

dm/dt = αtn

where m is measured in grams and t is measured in days.  For the following values for n and α,  (n = -1/2,  α = 2)

1.Find the units of α
2.Suppose that m(0) = 5g. Find the solution
3.Sketch a graph of the rate of change and solution
4.Describe your results in words.

Reference no: EM1317842

Questions Cloud

Ountry that has never had its own currency has formed : A country that has never had its own currency has formed a central bank and put you in charge of developing money.
Finding the width when perimeter is given : Finding the width when perimeter is given.
Find the relative growth rate : Evaluate the relative growth rate and Assume the relative growth rate is a linear function of population at time  t  by using the formula
Use the orange points square symbol on the graph : Use the orange points square symbol on the graph below to plot the short-run industry supply curve for the wheat industry.
Solve differential equations with initial conditions : Solving differential equations with initial conditions - Sketch a graph of the rate of change and solution and Describe your results in words.
Legitimate interest to monitor employee : An employer does not have a legitimate interest to monitor employee email when the purpose is to
The point estimate of the reduction in the mean : During the 2003 season, MLB took steps to speed up the play of baseball games in order to maintain fan interest; the following results come from a sample of 60 games played during the summer of 2002. And a sample of 50 games played during the summ..
Confidence interval for the population mean weight : Find a 90% confidence interval for the population mean weight of all such turtles.
Differential equations with initial conditions : Differential equations with initial conditions - Evaluate and graph the solution, and indicate whether the solution makes sense for all time.

Reviews

Write a Review

Mathematics Questions & Answers

  Questions on ferris wheel

Prepare a Flexible Budget Gator Divers is a company that provides diving services such as underwater ship repairs to clients in the Tampa Bay area.

  Logistic map

This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.

  Finding the probability of cards

This assignment has questions related to probabiltiy.

  Systems of ode

Find all the xed points, and study their stability and Draw the phase portrait of the system, as well as the graphs of the solutions in all relevant cases.

  Derive the boolean expression

Derive the Boolean Expression and construct the switching circuit for the truth table stated

  System of equations

Evaluate which equations are under-identified, just-identified, and over-identified.

  Linear programming problem

Linear programming problem consisting of only two constraints with one objective function.

  Find the natural domain

Find the natural domain of the given functions.

  Introduction to numerical methods

Compute the coecients of the polynomials using the term recurrence relation.

  Chart of the topological manifold

De?nition of smoothness of functions on a smooth manifold is chart independent and hence geometric.

  Mathematics in computing

Questions related on mathematics in computing.

  Complex problems

Complex problems

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