Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(c) given one solution of (1), y1 = e-2t and you want to produce a second unkno solution y2 by using it. Suppose the new solution has the form Y2 = u(t)y1(t) fe certain function u(t), and hence we just need to determine u(t) in order to determ Let us think about the previous part in a little different way. You %3D Y2. To find out u(t), substitute y2 (t) back into equation (1), do calculation, simp and solve for u(t) (you are supposed to have a family of choices). Last, choos suitable u(t) for y2(t) and then justify whether y1 and Y2 that you chose for fundamental set of solutions. (Compare you results to the previous part)

(c) given one solution of (1), y1 = e-2t and you want to produce a second unkno solution y2 by using it. Suppose the new solution has the form Y2 = u(t)y1(t) fe certain function u(t), and hence we just need to determine u(t) in order to determ Let us think about the previous part in a little different way. You %3D Y2. To find out u(t), substitute y2 (t) back into equation (1), do calculation, simp and solve for u(t) (you are supposed to have a family of choices). Last, choos suitable u(t) for y2(t) and then justify whether y1 and Y2 that you chose for fundamental set of solutions. (Compare you results to the previous part)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
See similar textbooks
icon
Related questions
Question
Let us think about the previous part in a little different way. You are -2t and you want to produce a second unknown u(t)y1(t) for a certain function u(t), and hence we just need to determine u(t) in order to determine given one solution of (1), yi = solution y2 by using it. Suppose the new solution has the form y2 Y2. To find out u(t), substitute y2(t) back into equation (1), do calculation, simplify, and solve for u(t) (you are supposed to have a family of choices). Last, choose a suitable u(t) for y2(t) and then justify whether y1 and Y2 that you chose form a fundamental set of solutions. (Compare you results to the previous part)
Transcribed Image Text:Let us think about the previous part in a little different way. You are -2t and you want to produce a second unknown u(t)y1(t) for a certain function u(t), and hence we just need to determine u(t) in order to determine given one solution of (1), yi = solution y2 by using it. Suppose the new solution has the form y2 Y2. To find out u(t), substitute y2(t) back into equation (1), do calculation, simplify, and solve for u(t) (you are supposed to have a family of choices). Last, choose a suitable u(t) for y2(t) and then justify whether y1 and Y2 that you chose form a fundamental set of solutions. (Compare you results to the previous part)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS