Find all complementary functions of the equation 25y" 40y + 16y = 0 a. e4x/5cOSX, e4x/5sinx b. e4x/5, xe4x/5 C. e5x/4, xe5x/4 d. e4x/5, x²e4x/5 O O a
Find all complementary functions of the equation 25y" 40y + 16y = 0 a. e4x/5cOSX, e4x/5sinx b. e4x/5, xe4x/5 C. e5x/4, xe5x/4 d. e4x/5, x²e4x/5 O O a
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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![**Question:**
Find all complementary functions of the equation:
\[ 25y'' - 40y' + 16y = 0 \]
**Options:**
a. \( e^{4x/5} \cos x, e^{4x/5} \sin x \)
b. \( e^{4x/5}, xe^{4x/5} \)
c. \( e^{5x/4}, xe^{5x/4} \)
d. \( e^{4x/5}, x^2 e^{4x/5} \)
---
**Answer Choices:**
- ○ a
- ○ b
- ○ c
- ○ d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1300845a-828a-484d-8f06-319293900125%2Fec566993-2836-4666-b592-b13e539dfc09%2Fwg7owvd_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
Find all complementary functions of the equation:
\[ 25y'' - 40y' + 16y = 0 \]
**Options:**
a. \( e^{4x/5} \cos x, e^{4x/5} \sin x \)
b. \( e^{4x/5}, xe^{4x/5} \)
c. \( e^{5x/4}, xe^{5x/4} \)
d. \( e^{4x/5}, x^2 e^{4x/5} \)
---
**Answer Choices:**
- ○ a
- ○ b
- ○ c
- ○ d
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