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Find the solution of the differential equation r'(t) 4r(t) with the initial condition r(0) = (9,9, 10), where r(t) is a vector-valued function in three-space. (Use symbolic notation and fractions where needed. Give your answer in the form (x(t), y(t), z(t)).)

Find the solution of the differential equation r'(t) 4r(t) with the initial condition r(0) = (9,9, 10), where r(t) is a vector-valued function in three-space. (Use symbolic notation and fractions where needed. Give your answer in the form (x(t), y(t), z(t)).)

Calculus: Early Transcendentals
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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**Problem Statement:** Find the solution of the differential equation **r'(t) = 4r(t)** with the initial condition **r(0) = ⟨9, 9, 10⟩**, where **r(t)** is a vector-valued function in three-space. (Use symbolic notation and fractions where needed. Give your answer in the form ⟨x(t), y(t), z(t)⟩.) **Solution Placeholder:** **r(t) =** ⟨_______⟩
Transcribed Image Text:**Problem Statement:** Find the solution of the differential equation **r'(t) = 4r(t)** with the initial condition **r(0) = ⟨9, 9, 10⟩**, where **r(t)** is a vector-valued function in three-space. (Use symbolic notation and fractions where needed. Give your answer in the form ⟨x(t), y(t), z(t)⟩.) **Solution Placeholder:** **r(t) =** ⟨_______⟩
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