4. Consider the following order 3 linear homogeneous ODE:y" – 2y" – 5y' + 6y = 0-(a) Convert this into a 3 dimensional system of first order equations in the variables y1, Y2, Y3-(b) Given that the characteristic equation of the order 3 ODE factors as (A+2)(^ – 3)(A– 1),what is a fundamental set of solutions for the order 3 system of equations?||(c) Use your answer for part b to give a fundamental set of solutions for the system that youwrote in part a Hint: what do y1, Y2, and y3 represent?

Given: y'''-2y''-5y'+6y=0(a) Coversion into three dimensional isy3-2y2-5y1+6y=0(b) To find the…

4. Consider the following order 3 linear homogeneous ODE: y" – 2y" – 5y' + 6y = 0 (a) Convert this into a 3 dimensional system of first order equations in the variables y1, Y2, Y3. (b) Given that the characteristic equation of the order 3 ODE factors as (A+2)(A– 3)(A – 1), what is a fundamental set of solutions for the order 3 system of equations? (c) Use your answer for part b to give a fundamental set of solutions for the system that you wrote in part a Hint: what do y1, Y2; and Y3 represent?

4. Consider the following order 3 linear homogeneous ODE: y" – 2y" – 5y' + 6y = 0 (a) Convert this into a 3 dimensional system of first order equations in the variables y1, Y2, Y3. (b) Given that the characteristic equation of the order 3 ODE factors as (A+2)(A– 3)(A – 1), what is a fundamental set of solutions for the order 3 system of equations? (c) Use your answer for part b to give a fundamental set of solutions for the system that you wrote in part a Hint: what do y1, Y2; and Y3 represent?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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