Question: Find the solution to the boundary value problem: ady 7 + by =0, y(0) = 2,y(1) = 1 Solution: SOLUTION The charateristic equation r- -

Find the solution to the boundary value problem: ady 7 + by =0, y(0) = 2,y(1) = 1 Solution: SOLUTION The charateristic equation r- - 6r + 5 = 0 has roots m = 1 and /2 = 5 so the general solution is The initial conditions yield the system = CI + 02 - N = gie + oge Solving the system yields c = _ and cy = 2_ 1-23 Correct Answers: . 2.03045106142319*exp (1*t) + -0.030451061423189*exp(5*t]

Step by Step Solution

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

Students Have Also Explored These Related Mathematics Questions!

help me please ' Find the solution to the initial value problem, xzy\" + xy' y = 0; y(1) = 0, y'(1) = 1 by first showing that the functions x, 1/x form a fundamental set for the differential...

(a) (b) DO Given boundary value problem {(10) = 1 y (0) = 0, y'(1) = 0 3 = 1 is a solution to homogeneous equation (1-x)y" + 2xy = 0, find a second solution 32 by reduction of order method. Find...

Question 1 One solution to the differential equation tly" + 6ty' + 6y = 0,t > 0, is y =t-2. (a) Use the Reduction of Order Formula to find a second solution yz that is linearly independent to y1. (b)...

2 (part 1) CREDIT WILL BE GIVEN FOR AT MOST ONE BONUS PROBLEM (1) Using the same procedure in class (Jan. 24th lecture), construct the 9 9 system of equations for the coefficients of the cubic spline...

This comes from the textbook Differential Equations and Linear Algebra 4th edition. Find the solution of the initial value problem. dq dz = 4 + sin z, and q = 8 when z = 0. q(2) =(3) Consider the...

y' = ky , to = 0, k has n linearly independent eigenvector insing notation of Section 7.7 in the text D. using a careful proof in a couple of steps to show that P ( t) = I (t) T 10) , and then show...

MEAM 527 Fall 2016 Homework 2 2.1 (10 pts) Consider the one-dimensional boundary value problem (BVP): ,!! + = 0, 0,1 ,! 0 = 0 + (mixed BC also know as Robin's BC) and 1 = , where q, k, and are given...

please solve c) the matlab code ASAP 2. Consider the boundary value problem PDE: u,t (0 0). = u,2,2, ICs: u(t = 0,2)- (a) Find the steady-state solution. (NOTE: There are Neumann BCs at each end....

1. Write down the equation for the linear piecewise shape functions , 2, and 3 shown in the figure below that are used to construct trial functions on two finite element subdomains of the and their...

QUESTION 1 dy = 8e - x - is a first order differential equation. dx O True O FalseQUESTION 2 dy Find the particular solution of the initial value problem 2- = Axe *; y (0) =5 dx O y=7+ 2xe * - 20 * O...

A- Consider the following hypothesis test, He p- 40 and Hi: p 40. Assume have the prior information o = 12 in a sample of 100. We will reject the null hypothesis if the sample mean far than two...

1. Emma is playing a game with a biased five sided spinner marked with the numbers 1,2,3,4, and 5. When she spins the spinner, her score, is the number on which the spinner lands. The probability...

Question 3 9 1 pts Which of the following best describes why term life insurance is sometimes the only logical choice for a consumer? It's the cheapest Most consumers don't need coverage for life...

In 2019, Alliant Corporation acquired Centerpoint Inc. for $380 million, of which $60 million was allocated to goodwill. At the end of 2021, management has provided the following information for a...