consider the homogeneous sysytem: X-1x_1 =%3Dc. Multiply by the nonhomogenity g(t) and integrate.C1u(t) = | x-(t)g(t) dtC2%3Dd. Write the general solution to the system.+ C2x(t) = c1%3D System:3.-2- 2ex'8-5-3e-ta. Write a fundamental matrix for the associated homogeneous systemX =b. Compute the inverse of X.X-1 =

Name: consider the homogeneous sysytem: X-1x_1 =%3Dc. Multiply by the nonhom
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: consider the homogeneous sysytem: X-1x_1 =%3Dc. Multiply by the nonhomogenity g(t) and integrate.C1u(t) = | x-(t)g(t) dtC2%3Dd. Write the general solution to the system.+ C2x(t) = c1%3D System:3.-2- 2ex'8-5-3e-ta. Write a fundamental matrix for the a

Given the system is x'=3-28-5x+-2e-t-3e-t. First solve the homogeneous system x'=3-28-5x. Find the…

Answered: (3 -2) x + -5 2e %3D -3e-t a. Write a…

Math

Advanced Math

(3 -2) x + -5 2e %3D -3e-t a. Write a fundamental matrix for the associated homogeneous system X = %3D b. Compute the inverse of X. %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A meat processing factory performs tasks by a series of 4 operators. Below table lists for each of the four resource pools, the unit load and the number of resource units. Base on this information, compute the effective capacity of each of the resource pools. Which one is the bottleneck of the meat processing operation? operator 3 operator 1 operator 2 operator 4
|Q3. Consider a system with the mathematical model given by the following differential equation. Find the transfer function of the system d'y + 10 dr? + 2y = u(t). dr
A manufacturer produces three products: Product A, Product B and Product C. Tobe able to produce each product he uses a combination of three distinct inputsnamely Input I, Input II and Input III the supply of which is currently at 730, 350and 350 units respectively. Each unit of Product A requires 6 units of Input I, 3units of Input II and 4 units of Input III to be produced. Similarly, each unit ofProduct B requires 8 units of Input 1 and 4 units of Input II while Product C uses 5units of Input I, 1 unit of Input II and 3 units of Input III.(i) Let a, b and c represent the number of units produced of Products A, B and Crespectively. The manufacturer must decide what quantity of each product toproduce so that his entire supply of inputs is utilized. Formulate his/herdecision in the form of a system of three linear equations in the variables a, band c. [3 marks](ii) Rewrite the above system of linear equations in the matrix form Ax = b. [2 marks](iii) Hence or otherwise, determine how…
Find an SVD of the matrix A = [7 0 0 0 0300 0000
Answer the question below:
An economy is based on three sectors-agriculture, manufacturing, and services. For each unit of output, agriculture requires inputs of 0.30 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. For each unit of output, manufacturing requires inputs of 0.30 unit from agriculture, 0.20 unit from manufacturing, and 0.20 unit from services. For each unit of output, services requires 0.20 unit from agriculture, 0.30 unit from manufacturing, and 0.30 unit from services. Determine the production levels needed to satisfy a final demand of 0 units for agriculture, 50 units for manufacturing, and 0 units for services. The production level needed from the agricultural sector is units. (Do not round until the final answer. Then round to two decimal places as needed.)
Find the SVD (Singular value decomposition) of A = 7 00 5 5
The following leLPP Max Z-SX - 72 6X3 (lundrede of dollars S) X1+ 4X2 23 60 2X1- 2X2 3X3 40 XT• 2X2. 2X3 30 (production capacity: hours) (warehouse capacity: hundrede of sq. ) (demand for 6 or. glassee; undreds of cesos) Basis CB 5X1 7X2 6X3 51 S2 RHS X2 S1 X1 0.6 0.6 10 -1 1 1. 10 0. 10 7. 8.5 7.6 120 C-Z -2.5 -1.5 -2 What effect on the optimal solution (value of Z) ,if we change the profit of X3 from 6 to $2.1 ?
If NG and both G and G/N are soluble, show that G is soluble.
Mr. Montes is writing a short, three-question, true or false quiz for his Algebra 2 classes. He had planned on using a random answer generator to determine which of true or false would be the correct answer for each quiz question, but his internet is not working. Instead, he writes each possible answer combination on a small slip of paper, folds each paper in half, and then places them in a box. Without looking, he draws one of the slips of paper 2. List the outcomes in the sample space. Let T = True and F = False.
Each box of Healthy Crunch breakfast cereal contains a coupon entitling you to afree package of garden seeds. At the Healthy Crunch home office, they use the weightof incoming mail to determine how many of their employees are to be assigned tocollecting coupons and mailing out seed packages on a given day. (Healthy Crunch hasa policy of answering all its mail on the day it is received.)Let x = weight of incoming mail and y = number of employees required to process themail in one working day. A random sample of 8 days gave the following data:x (lb) 11 20 16 6 12 18 23 25y (Number of employees) 6 10 9 5 8 14 13 16a.) Draw a scatter diagram for the datab.) Find the equation of the least-squares line. Plot the line on the scatter diagram forpart (a).c.) Find the sample correlation coefficient r and the coefficient of determination ??.d.) If Healthy Crunch receives 15 pounds of mail, how many employees should beassigned mail duty that day? Show work