14. If y = f(x) is a solution to the differential equation = e* with the initial condition f(0) = 2, which of the xp following is true? (A) S(x) = 1 + e* (B) ƒ(x) = 2xe*³ (D) S(1) = 2 + f, e° dr (E) f(1) = 2 + [, d'dt

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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dy
14. If y = f(x) is a solution to the differential equation
with the initial condition f(0) = 2, which of the
following is true?
(A) f(x) = 1 + e*
(B) f(x) = 2.xe*²
(C) f(x) = [°e* dt
(D) f(x) = 2 + f, e* dt
(E) f(x) = 2 + f,e°
dt
Transcribed Image Text:dy 14. If y = f(x) is a solution to the differential equation with the initial condition f(0) = 2, which of the following is true? (A) f(x) = 1 + e* (B) f(x) = 2.xe*² (C) f(x) = [°e* dt (D) f(x) = 2 + f, e* dt (E) f(x) = 2 + f,e° dt
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