Find the solutions of the following IVPS or DE. a. y" — 4y' + 4y = e²x, b. y" - 2y = e2²x +3, y(0) = 1, y'(0) = 0 y(0) = 1, y'(0) = 2 c. y" + 4y' + 3y = 15e²* + e-

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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1. Find the solutions of the following IVPS or DE.
2x
a. y″ − 4y' + 4y = e²x,
2x
b. y" - 2y = e²x +3,
y(0) = 1, y'(0) = 0
y(0) = 1, y'(0) = 2
c. y" + 4y' + 3y = 15e²x + ex
Transcribed Image Text:1. Find the solutions of the following IVPS or DE. 2x a. y″ − 4y' + 4y = e²x, 2x b. y" - 2y = e²x +3, y(0) = 1, y'(0) = 0 y(0) = 1, y'(0) = 2 c. y" + 4y' + 3y = 15e²x + ex
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