Question: Consider the following ODE, which is a two-point boundary value problem: y(x) = 4y + x, y (0) = 1, y(2) = 3. To

Consider the following ODE, which is a two-point boundary value problem: y"(x)

Consider the following ODE, which is a two-point boundary value problem: y"(x) = 4y + x, y (0) = 1, y(2) = 3. To solve it with shooting method, we let y(x) be the solution of y" (x) = 4 + x, y (0) = 1, 5(0) = 1, and let 5(x) be the solution of j"(x) = 4 + x, y (0) = 1, y(0) = 2. Let now y = + (1 2). For what value of will this y be the solution of the two point boundary value problem? 2- 5(2) (2) 5(2) 1- y (2) (2) 5(2)* 2- (2) = y (0) y (0) 3 - 5(2) (2) (2)

Step by Step Solution

★★★★★

3.45 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 (2 attachments)

636855772baaf_241301.pdf

180 KBs PDF File

636855772baaf_241301.docx

120 KBs Word File

Students Have Also Explored These Related Mathematics Questions!

To make 100 litres of solution, 1.5 kg salt is dissolved in water. Pure water is pumped into a tank containing this solution at a rate of 5 l min -1 ; salt solution overflows at the same rate. The...

Consider the boundary value problem solved in Example 11.15. Let W" be the subspace consisting of all polynomials u(x) of degree

Let X be exponential with expected value 3. Let Y be another random variable that depends on X as follows: if X > 5, then Y = X - 5; otherwise, Y = 0. a. Find the expected value of Y. b. Find the...

Two different methods can be used for measuring the temperature of the solution in a Hall cell used in aluminum smelting, a thermocouples implanted in the cell and an indirect measurement produced...

Project managers must not only calculate variances but also determine the root cause of the variance. Some variances may be allowable while others must be explained together with a corrective plan...

Consider the following table, which gives a security analysts expected return on two stocks for two particular market returns: a. What are the betas of the two stocks? b. What is the expected rate of...

Consider the following table, which gives a security analyst expected return on two stocks for two particular market returns a. What are the betas of the two stocks? b. What is the expected rate of...

Consider the following historical performance data for two different portfolios, the Standard and Poors 500, and the 90-day T-bill. a. Calculate the Fama overall performance measure for both funds....

As shown in Exercise 2.89, back-to-back stem-and-leaf displays can be used to compare the distribution of a variable for two different groups. Consider the following data, which give the alcohol...

Consider the following graph, which shows a demand curve and two supply curves. Suppose that there is an increase in demand. Compare the equilibrium price and quantity change in both cases, and use...

Amazin.in has put up billboards across the main, arterial roads of Mumbai. The billboards advertise the Mega Independence Day sale coming up. They hope their billboards can grab the attention of...

Develop a flow chart for the expenditure cycle of the 7-Eleven retail store containing the sales order and cash receipts

Question 2 7 The integration of brands or brand messages described by which of the following terms. Direct marketing Media optimization Product placement The AIDA concept

At the end of 2016, the accounting firm for which you work is auditing the books of Debitus Publishing Inc. for the first time. Debitus, a calendar year company, publishes textbooks that are used in...

Washta Software develops and markets computer software for the agriculture industry. Because support costs are a large portion of the cost of software development, the director of cost operations of...

Determine the missing amounts. Unit Selling Price Unit Variable Costs $170 (c) (1) Contribution Margin Ratio (b) (d) 30% Contribution Margin per Unit (a) 1. $250 $500 (e) 2. 3. $200 $300

Lucido Products markets two computer games: Claimjumper and Makeover. A contribution format income statement for a recent month for the two games appears on the following page: Required: 1. Compute...

Magrath Company has an operating cycle of less than one year and provides credit terms for all of its customers. On April 3, 2007, the company factored, without recourse, some of its accounts...

match 0 Physical Defenses Chemical Defenses Cellular Defenses My Points = Agranulocytes = Barriers = Inflammatory mediators = Antimicrobial peptides = Mechanical mechanisms = Enzymes = Cytokines =...

part 3,5,6,7 and 8 (1) Consider the following two-point boundary value problem (BVP) y"(x) x?y'(x) - (1+x)y(x) = 0; y(0)=1, y(1)=2. (1) Show that the problem (1) admits a unique solution. (2)...

1. (Double Sweep Method) Generalise the Double Sweep method from one that supports Dirichlet boundary conditions to one that supports Robin boundary conditions: ajUj1 + bjUj + cjUj+1 = fj, 1 j J 1...

,, Solve the following please Use the aflached Matlab code as a basis to solve the following ordinary differential equation using Euler's method, with timestep of Q 1, from r-0 10 1-100 dy de = sin...

Question 2 : Consider the following problem minJ = 0 T ( ( x ( t ) - c 1 ) 2 + ( y ( t ) - c 2 ) 2 ) d t subject t o x ( t ) = x ( t ) ( - y ( t ) - u 1 ( t ) ) y ( t ) = - y ( t ) ( - y ( t ) - u 2...

PLEASE USE MATLAB!!!!! PLEASE DO NOT USE SOMEONE ELSES ANSWER!!! Here is some hints that we were given... % % % Use finite differences to solve the BVP % % % Be careful about the shape of the...