Question: Consider the initial value problem: 3yy - 12yy' + 6yy = 0, yy(0) = 1 yy'(0) = -2 a. Find the solution of this

Consider the initial value problem: 3yy" - 12yy' + 6yy = 0, yy(0) = 1 yy'(0) = -2 a. Find the solution of this initial value problem and describe its behavior for large t. b. Determine the value of t for which the solution first intersects the line y = 0.

Step by Step Solution

★★★★★

3.47 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The characteristic equation for this differential equation is 3r2 12r 6 0 Fact... 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

Students Have Also Explored These Related Accounting Questions!

Consider the initial value problem y + p ( x ) y = q ( x ) , y ( x 0 ) = y 0 , where p ( x ) and q ( x ) are continuous on some open interval I . (a) Use the method of variation of parameters to...

1. Consider the initial value problem (IVP) y' = ey+cos x, y(0)=0. The power series solution of the IVP is given by y(x) = ax + ax + a3x + ... a3. Use the method of direct substitution to determine...

1. Consider the initial value problem +5y = cost, y(0) = 1. Solve the IVP using THREE DIFFERENT METHODS. 2. Solve the following differential equations. If there are initial values, solve the IVP. If...

Define the 4 market segments. Pick a hospitality business and analyze its marketing strategy regarding market segments, market targeting, and market positioning. Give three examples of how the...

Janagan Kandasamy Assignment Assignment 3 due 10/05/2016 at 11:59pm EDT Z ENRG 213 Fall 2016 1. (1 point) Use the \"mixed partials\" check to see if the following differential equation is exact. If...

Consider the initial value problem on the interval [0, 1]. y' = 4y - X (0) = -1 (0.1) = (a) Use Euler's method with step size h = 0.1 to approximate points along the solution curve of the initial...

Prof. ll June 14, 2016 MAT224: Differential Equations Existence and Uniqueness of Solutions Consider the Initial Value Problem: y (x) = f (x, y) y(x0 ) = y0 . It would be good to know if a solution...

Problems Determine whether each of the equations in Problems 1 through 8 14. Show that any separable equation is exact. If it is exact, find the solution. 1. (4x + 3) + (6y - 1)y' = 0 M (x) + N(y)y'...

1.} Find the general solution of the following differential equation. y"+7y'+12y = 0 NOTE: Use c; and C2 as arbitrary wmtants' Silt) = cl 63: + c: 6\" 'l 2.} Solve the initial value problem y" + 2y'...

Should be done in Matlab please clear all defn = inline(-t*x,t,x); a=0; b=5; N=10; xa=1; h=(b-a)/N; t=a+h*(0:N); LT = length(t); x(1) = xa; for j=2:LT x(j) = x(j-1) + h*defn(t(j-1),x(j-1)); end...

Kendrick Corporation uses activity - based costing to compute product margins. In the first stage, the activity - based costing system allocates two overhead accounts - equipment expenses and...

Show all work, equations, and steps Chapter 2 Problem 14 a. For the years 2005 -2009, calculate Boeing's i. Total liabilities-to-equity ratio ii. Times interest earned ratio iii. Times burden covered...

You are managing an agile project where all team members work virtually. An important issue just came up, and you want everyone to discuss it. What can you do to get everyone's inputs and gauge their...

1.1. Focus for Professional Development ( High-leverage Topic. What topic can be addressed effectively, implemented quickly, and would yield the most impact on equitable student learning?) Citations...

Revenue for an electronic writing tablet is modeled by R(x)=0.10x2+3x , where x is the number of units sold. When 500 units are sold, revenue is $26,500. When 800 units are sold, revenue is $66,400....

A newly discovered element, "Examinium", has a half life of T1/2 = 15.0 hours. of a) If a student has a total of 3.60 x 10 atoms of Examinium, how many will remain after 111 hours? Remaining Atoms =...

determine the interest payment for the following three bonds. (assume a $1000 par value) round your answers to two decimal places 4.15% coupon corporate bond (paid semi annually) 4.80% coupon...

(a) What is the focal length of a magnifying glass that gives an angular magnification of 8.0 when the image is at infinity? (b) How far must the object be from the lens?

Let C1 and C2 be circles in the plane. Describe the number of possible points of intersection of C1 and C2. Illustrate each case with a figure.

Let u and v be nonzero vectors in R". In Section 5.3 we defined the angle between u and v to be the angle Î¸ such that A linear operator L: Rn Rn is called angle preserving if the angle...

(a) Show that a line t 0 through the origin of R3 is a subspace of R3. (b) Show that a line t in R3 not passing through the origin is not a subspace of R3.

What is the centre-of-gravity method, and when should it be used?

A job in an insurance office involves telephone conversations with policy hold el's. The office manager estimates that about half of the employees time is spent on the telephone. How many...

In the buttered sole line of burin's secondary processing plant of Fishery products international, Newfoundland, the "spreading" operation involved spreading the sole on the conveyor belt.9 The job...