Given that the characteristic equation has the following roots , what is the complementary solution? 1+3i,1±3i, 2, 2, 2, 2, 4 O a. y = e* [(a – bæ)cos3ix + (c+ dæ)sin3ix] + (e + fæ + gæ² + hæ³)e2= + te%z O b. y = e"[(a + bx)cos3x + (c + dæ)isin3x] + (x + gæ² + hæ³)e2- + te%z O c.y = e"[(a + bæ)cos3r – (c+ dæ)isin3r] + (e + fx + gæ² + hæ³)e²= + tez O d. y = e" [(a + bæ)cos3x + (c + dæ)sin3x] + (e + fæ + gæ² + hæ³)e2= + tez

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 5E
icon
Related questions
Topic Video
Question

can you answer?

Given that the characteristic equation has the following roots , what is the complementary solution?
1+3i, 1±3i, 2, 2, 2, 2, 4
O a. y = e"[(a – bæ)cos3ix + (c+ dæ)sin3ix] + (e + fæ + gx² + hx³)e² + te4
O b. y = e² [(a + bæ)cos3x + (c + dæ)isin3x] + (x + gx² + hæ³)e²2x + te4z
O c. y = e"[(a + bæ)cos3x – (c + dæ)isin3x] + (e+ fx + gx² + hx³)e2¤ +te4z
O d. y = e"[(a + bx)cos3x + (c + dæ)sin3x] + (e + fx + gæ² + hx³)e2- + te4
Transcribed Image Text:Given that the characteristic equation has the following roots , what is the complementary solution? 1+3i, 1±3i, 2, 2, 2, 2, 4 O a. y = e"[(a – bæ)cos3ix + (c+ dæ)sin3ix] + (e + fæ + gx² + hx³)e² + te4 O b. y = e² [(a + bæ)cos3x + (c + dæ)isin3x] + (x + gx² + hæ³)e²2x + te4z O c. y = e"[(a + bæ)cos3x – (c + dæ)isin3x] + (e+ fx + gx² + hx³)e2¤ +te4z O d. y = e"[(a + bx)cos3x + (c + dæ)sin3x] + (e + fx + gæ² + hx³)e2- + te4
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning