Find the general real solution of this system of differential equations x ′ = x−2y y ′ = 2x+y Question options: x(t) = c_1 e^(t+it) + c_2 e^(t+it) y(t) = c_1 e^(t+it) + c_2 e^(t+it) x(t) = c_1 e^(t+it) - c_2 e^(t+it) y(t) = c_1 e^(t+it) + c_2 e^(t+it) x(t) = c_1 e^t cos(t) - c_2 e^t sin(t) y(t) = c_1 e^t sin(t) + c_2 e^t cos(t) x(t) = c_1 e^t cos(t) + c_2 e^t sin(t) y(t) = c_1 e^t sin(t) + c_2 e^t cos(t)
Find the general real solution of this system of differential equations x ′ = x−2y y ′ = 2x+y Question options: x(t) = c_1 e^(t+it) + c_2 e^(t+it) y(t) = c_1 e^(t+it) + c_2 e^(t+it) x(t) = c_1 e^(t+it) - c_2 e^(t+it) y(t) = c_1 e^(t+it) + c_2 e^(t+it) x(t) = c_1 e^t cos(t) - c_2 e^t sin(t) y(t) = c_1 e^t sin(t) + c_2 e^t cos(t) x(t) = c_1 e^t cos(t) + c_2 e^t sin(t) y(t) = c_1 e^t sin(t) + c_2 e^t cos(t)
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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Question
Find the general real solution of this system of differential equations
x ′ = x−2y
y ′ = 2x+y
Question options:
x(t) = c_1 e^(t+it) + c_2 e^(t+it)
y(t) = c_1 e^(t+it) + c_2 e^(t+it)
x(t) = c_1 e^(t+it) - c_2 e^(t+it)
y(t) = c_1 e^(t+it) + c_2 e^(t+it)
x(t) = c_1 e^t cos(t) - c_2 e^t sin(t)
y(t) = c_1 e^t sin(t) + c_2 e^t cos(t)
x(t) = c_1 e^t cos(t) + c_2 e^t sin(t)
y(t) = c_1 e^t sin(t) + c_2 e^t cos(t)
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