Consider the initial-value problem y' = x 2y, y(0) = 1/2. Determine which of the two curves

Question:

Consider the initial-value problem y' = x 2y, y(0) = 1/2. Determine which of the two curves shown in following figure is the only plausible solution curve. Explain your reasoning.

х 1.

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

Step by Step Answer:

Related Book For book-img-for-question

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

See More Books

Question Posted: Jul 10, 2018 12:34 PM

What is the largest possible ? in Example 1 in the text? Data from example 1 Consider the initial value problem and take the rectangle R; |x| This solution is discontinuous at + ?/2, and there is no...
Reread Example 3 and then discuss, with reference to Theorem 1.2.1, the existence and uniqueness of a solution of the initial-value problem consisting of xy' - 4y = x 6 e x and the given initial...
Apply the multistep method in Prob. 23 to the initial value problem y' = x + y, y(0) = 0, choosing h = 0.2 and doing 5 step. Compare with the exact values.
ME-1" Ltd. acquired 80% equity shares of You-2nd Ltd. on 30/04/2020 for a cost of GHS60,000. At that time the general reserves were GHe6,000 respectively.
Gladstone Limited tracks the number of units purchased and sold throughout each accounting period but applies its inventory costing method at the end of each period, as if it uses a periodic...
Roger Francoeur, a candidate for town council, is campaigning on a platform of open government and fiscal responsibility. During his campaign, Francoeur requests that you prepare personal financial...
When is the Developmental Configuration initiated? When is it complete?
Christine Ewing is a licensed CPA. During the first month of operations of her business (a sole proprietorship), the following events and transactions occurred. April 2 Invested $30,000 cash and...
In January of the current year, your company purchased a sport utility vehicle (SUV) weighing 6,100 pounds in the amount of $130,000 for business-use only. At December 31st, you (the business owner)...
A research project studied the physical properties of wood materials constructed by bonding together small flakes of wood. The two factors considered were the size of the flakes and species of tree....
Use Problem 55 in Exercises 1.1 and (2) and (3) of this section. 1. Find a function y = f (x) whose graph at each point (x, y) has the slope given by 8e 2x + 6x and has the y-intercept (0, 9). 2....
Determine a plausible value of x 0 for which the graph of the solution of the initial-value problem y' + 2y = 3x 6, y(x 0 ) = 0 is tangent to the x-axis at (x 0 , 0 ). Explain your reasoning.
Cite examples of operational plans that you use or encounter (now or in the past) at work, at school, or in your personal life?
In "Central Banks" lecture note "Money creation and control 4", suppose that the transaction changes to the following: the Fed. decides to reduce money supply by selling $0.5 M TBills to each of Bank...
Use Stats Canada to answer Complete the following assignment and submit your work to the dropbox Unit 3: Activity 1 GDP (Total 14 marks) Before you upload your file, ensure your name appears on the...
A) Draw the free body diagram and Write the equation for eact object (include the pulley). B) What is the acc. for the square object (small m) C) What is the 12inetic and the potential Energy of the...
Please answer all parts of the question. Diagrams are provided. You must select and refer to that graph number (as appropriate) in your answer. Please be sure to discuss fully any graphs or diagrams...
12.13 [32 points total] Loss functions in drug approval. Suppose there is a test, with a test score indexed by x, that yields these abstract but simplified distributions of test outcomes for bad...
Which is hotter: a red star or a blue star?
Which of the following raises the credibility of areport? Which of the following raises the credibility of a report? Multiple Choice avoiding predictions avoiding the use of cause-effect statements...
In problem use Problems 41 and 42 and the fact that (1/2) = to find the Laplace transform of the given function. f(t) = t 3/2 Problems 41 and 42 Theorem 7.1.1 I'(a) = 1a-le- dt, a 0. %3D
Reread (iii) in the Remarks on page 288. Find the zero-input and the zero-state response for the IVP in Problem 36.
A uniform cantilever beam of length L is embedded at its left end (x = 0) and free at its right end. Find the deflection y(x) if the load per unit length is given by 2wo L2 w(x) - x+
A 0.012-kg bullet, traveling at 850 m/s, hits a 2-kg block of wood that is initially at rest, and goes straight through it. Assume that the final velocity of the bullet relative to the block is 400...
Assume that Iowa Co. will receive 1,200,000 Mexican pesos in 180 days. The Mexican interest rate is 3% over 180 days and the US rate is 2% over the same period. The spot rate for the Mexican peso is...
After watching the video from "The Big Bang Theory, describe what was occurring in the scene. What types of listening were demonstrated. How could this conversation be improved so that both parties...

Consider the initial-value problem y' = x 2y, y(0) = 1/2. Determine which of the two curves

Question:

х 1.

Step by Step Answer:

In the given equation y x 2 y So we can write the equation as dydx x 2 y It becomes ...View the full answer

A First Course in Differential Equations with Modeling Applications

Students also viewed these Mathematics questions