Consider again the differential equation dC/dt = 3( C) + 1 where is a constant.

Question:

Consider again the differential equation

dC/dt = 3(Г – C) + 1

where Г is a constant.

a. Solve the equation when C(0) = 0.

b. Check your answer.

c. Find C(0.4).

d. After what time will the solution be within 5% of its limit?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modeling the Dynamics of Life Calculus and Probability for Life Scientists

ISBN: 978-0840064189

3rd edition

Authors: Frederick R. Adler

See More Books

Question Posted: Apr 14, 2016 06:25 AM

See More Questions

Consider again the differential equation in the previous problem, with v(0) = -70. a. Use Euler's method to estimate the voltage after 1 ms, and again 1 ms after that. b. Estimate the voltage after 2...
Consider the differential equation dC/dt = 3( - C) + 1 where C is the concentration of some chemical in a cell, measured in moles per liter, and is a constant. a. What kind of differential equation...
Consider the inhomogeneous differential equation du/dt = au + b, where a, b are constants. (a) Show that u* = - b/a is a constant equilibrium solution. (b) Solve the differential equation. (c)...
When would you suggest that an organization engage in workflow analysis?
After watching the video on outsourcing, discuss the following; 1. What characteristics identify Adam as an entrepreneur? 2. How has Adam overcome the usual regulations governing a start-up firm? 3....
Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions. 7. 1
Jan Samson, CEO at CalleetaCO, sat staring at the now-empty boardroom. Her board of directors had reacted negatively to Jans growth proposals for expanding CalleetaCO globally, leaving Jan with a big...
As part of your audit of the Abba Company accounts payable function, your audit program includes a test of controls addressing the company policy requiring that all vouchers be properly approved. You...
The market price of a semi-annual pay bond is $964.02. It has 10.00 years to maturity and a coupon rate of 7.00%. Par value is $1,000. What is the yield to maturity?
What specific HR function scan you identify as being problematical in this company? Again, please give specific answers.
There could also be a single intersection with positive applied current, but on the rightmost decreasing part of the v-null cline. Draw such a phase plane. Assuming that this equilibrium is stable,...
Solve the pure-time differential equation starting from the initial condition p(1) = 1, find p(2), and add the curve to your graph. The above exercise compare the behavior of two similar-looking...
By differentiating the Maclaurin series representation Obtain the expansions And -(n + 1):" (I < 1) (1-z) (n+1)(n +2):" (1 < 1).
What are data analytics? What is it used for? How do accountants use data analytics? What are some tools that can be used for data analytics in accounting? What are data visualizations? How are they...
Assets Accounts receivable 2022 2021 Liabilities 2022 2021 $2,700 $3,400 Accounts payable $4,900 $4,000 Cash 1,900 2,174 Bonds payable 32,000 27,000 Equipment (net) 49,000 55,000 Notes payable...
Sales revenue $470,800.00 Cost of goods sold 217,766.40 Gross margin $253,033.60 Less: Selling expenses 86,199.20 Administrative expenses 74,942.80 Operating income $91,891.60 What was the sales...
In anticipation of Digby Corporation's new product, Dash, the company will purchase new plant and equipment for $12,750,000. The plant and equipment is expected to be used for 15 years and has a...
Solve the inequality. (Enter your answer using interval notation.) (x+8)2(x+5)(x-1) > 0
Why is it particularly important in long reports to clearly identify your purpose before you begin writing? a. A clear statement of purpose helps you avoid extensive revisions. b. A clear statement...
In Exercises evaluate the limit, using LHpitals Rule if necessary. lim 07x cos x X
The cooling system in a nuclear submarine consists of an assembly of welded pipes through which a coolant is circulated. Specifications require that weld strength must meet or exceed 150 psi. (a)...
Suppose we are testing H0: p = 0.5 versus H0: p ( 0.5. Suppose that p is the true value of the population proportion. (a) Using a = 0.05, find the power of the test for n = 100, 150, and 300 assuming...
Consider the television picture tube brightness experiment described in Exercise 8-24. (a) For the sample size n = 10, do the data support the claim that the standard deviation of current is less...
Noah and Joan Arc's Tax Return Note: This problem is divided into three parts. You will need to complete some of the forms in the other parts in order to determine the amounts to be used on Form 1 0...
Rundle Computer Services, Incorporated, has been in business for six months. The following are basic operating data for that period: Month July August September October November December Service...
Hal Gore won a $ 2 . 2 million prize for special contributions to environmental research. This prize is awarded for public achievement, and Hal directed the awarding organization to transfer $ 5 8 2...

Consider again the differential equation dC/dt = 3( C) + 1 where is a constant.

Question:

Step by Step Answer:

a Separating variables we have dC3 C 1 dt 13 In 3 C 1 t ...View the full answer

Modeling the Dynamics of Life Calculus and Probability for Life Scientists

Students also viewed these Calculus questions