y(x) = x2e−2x +Ce−2x is the general solution of y0 +2y = 2xe−2x. If y is the solution which satisﬁes the initial condition y(0) = 2, then lim x→∞ y(x) =

# y(x) = x2e−2x +Ce−2x is the general solution of y0 +2y = 2xe−2x. If y is the solution which satisﬁes the initial condition y(0) = 2, then lim x→∞ y(x) =

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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y(x) = x2e−2x +Ce−2x is the general solution of y0 +2y = 2xe−2x. If y is the solution which satisﬁes the initial condition y(0) = 2, then lim x→∞ y(x) =

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