Question: (a) Write the solution of the initial-value problem dP/dt = 0.1P(1 - P/2000) P(0) = 100 and use it to find the population when t

(a) Write the solution of the initial-value problem dP/dt = 0.1P(1 - P/2000) P(0) = 100 and use it to find the population when t = 20,
(b) When does the population reach 1200?

Step by Step Solution

★★★★★

3.49 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Using 4 and 7 in Section 94 we that for dP dt 01P1 P2000 with P0 10... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

786-C-D-E (694).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

(a) Verify that y = -1 / (x + c) is a one-parameter family of solutions of the differential equation y' = y 2 . (b) Since f (x, y) = y 2 and Ïf/Ïy = 2y are continuous everywhere, the region...

(a) Use a CAS to graph the solution curve of the initial-value problem in Problem 48 on the interval (-, ). (b) It is known that Fresnel sine integral S(x) 1/2 as x and S(x) -1/2 as x -. What does...

(a) Use a CAS to graph the solution curve of the initial-value problem in Problem 47 on the interval [0, ). (b) Use a CAS to nd the value of the absolute maximum of the solution y(x) on the...

1 5. (3) Write the solution of the initial-value problem g = 0.1P(l L) P(0) = 100 d: 2000 and use it to nd the population when I = 20. (b) When does the population reach 1200

de la cruz (cld2889) - HW03 - berg - (54070) This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001 003...

SOLVE Questions 1-5: PLEASE AND THANK YOU 1: What is the difference between homogenous and non-homogenous differential equation? Write an example for each and solve it. 2: What is the main formula to...

1. Solve the differential equations first for the general solution as a function of y, and then for the initial condition. a) y' = x csc y b) y' = xy 2 In y y(T) = 1/3 y(0) = 1 3. Use Euler's method...

Economics question 3. Consider the function f(x, y) = (2 - }) defined on {(x, y) : 1, y > 0}. (a) Graph {(r, y) : x, y > 0, f(x, y) = -1}. (b) Find an equation of the hyperplane tangent to the graph...

Safari File Edit View History Bookmarks Window Help O US O Q 8 0 Fri Dec 8 7:34 AM [ ] v O mylab.pearson.com C 88 G Assignments Upload Assignment: Wri... Bb https://learn-us-east-1-... P Do Homework...

2.3 please 1_ circle around the answer 2- Your handwriting is special so I can understand 3- I just want the answers thanks 3. [0/1 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQMODAP11 2.3.009.EP. MY...

Calculate Cost of Goods Sold: Freight-In ........... $ 8 Beginning Inventory ........ 16 Ending Inventory ....... $ 7 Net Purchases ......... 67

An enzyme contains an active site aspartic acid with a pKa = 5.0, which acts as a general acid catalyst. On the template below, draw the curve of enzyme activity (reaction rate) versus pH for the...

5.72 Coin Flips, Again Refer to the figure. a. After a large number of flips, the overall proportion of heads settles down to nearly what value? b. Approximately how many coin flips does it take...

Acid rain Based on long-term investigation, researchers have suggested that the acidity (pH) of rainfall in the Shenandoah Mountains can be described by the Normal model N(4.9, 0.6). a) Draw and...

Evaluate the integral. (4 evi dt

Determine whether the integral is convergent or divergent. Evaluate integrals that are convergent. 8. dv v2 + 2v 3 2.

Evaluate the integral. tan 5 sec 3 d

Consider two firms, X and Z . These firms are identical in every respect, except, X has more debt in its capital structure. If M&M propositions 1 & 2 with taxes hold, which firm has a higher wacc?

Broxton Group, a consumer electronics conglomerate, is reviewing its annual budget in wireless technology. It is considering investments in three different technologies to develop wireless...

KNN algorithm is applied on a dataset to predict cancer based on two features. You can see the prediction result in the following graph whereas "C" shows cancer and "N" shows no cancer. New patient...