# If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions? I have been working questions that provide possible solutions and I need to determine if they are solutions to the differential equation, but what about starting with the differential equation itself and finding a solution. Is it possible? If so, can you provide one example that starts with the given differential equation, y''-4y'+4y=et, and arrives at a solution? If not, can you explain why not?

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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If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?

I have been working questions that provide possible solutions and I need to determine if they are solutions to the differential equation, but what about starting with the differential equation itself and finding a solution. Is it possible?

If so, can you provide one example that starts with the given differential equation, y''-4y'+4y=et, and arrives at a solution?

If not, can you explain why not?

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