B. Prove that the given equation is a solution to the given DE: 1. = C,e3* + Cze2* + Cze* ; y"- 6y" + 11y' - 6y = 0 2. = x2 + 4x ; xy' = x2 + y 3. у %3Dезх; у"- 4y"- 4y' + 16у -D0

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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B. Prove that the given equation is a solution to the given DE:
1. = Ce3* + Cze²* + Cze* ; y"- 6y" + 11y' - 6y = o
2. = x? + 4x ; xy' = x2 + y
3. y = e3* ; y"- 4y"- 4y' + 16y = 0
Transcribed Image Text:B. Prove that the given equation is a solution to the given DE: 1. = Ce3* + Cze²* + Cze* ; y"- 6y" + 11y' - 6y = o 2. = x? + 4x ; xy' = x2 + y 3. y = e3* ; y"- 4y"- 4y' + 16y = 0
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