Consider the initial value problem dy = e y, dæ y(2) = 0. Which of the following is a solution to the initial value problem? (Hint: For a function to be a solution to an initial value problem, it needs to be a solution of the differential equation and satisfy the initial condition.) O a. y(x) = In(x) O b. y(x) = x – 2 O c. y(x) = ln(x – 1)

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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Consider the initial value problem
dy
= e Y, y(2) =
dæ
= 0.
Which of the following is a solution to the initial value problem? (Hint: For a function to be a solution to an initial value problem, it needs to be a solution of the
differential equation and satisfy the initial condition.)
O a. y(x) = In(æ)
O b. y(x) =
x – 2
O c. y(x) = In(x – 1)
Transcribed Image Text:Consider the initial value problem dy = e Y, y(2) = dæ = 0. Which of the following is a solution to the initial value problem? (Hint: For a function to be a solution to an initial value problem, it needs to be a solution of the differential equation and satisfy the initial condition.) O a. y(x) = In(æ) O b. y(x) = x – 2 O c. y(x) = In(x – 1)
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