Consider the differential equation d x(t) = 4x − y dt d dt y(t) = 2x + y. Write the differential equation in matrix form. Characterise the equilibrium at the origin and solve the initial value problem where x(0) = 3, y(0) = 4.
Consider the differential equation d x(t) = 4x − y dt d dt y(t) = 2x + y. Write the differential equation in matrix form. Characterise the equilibrium at the origin and solve the initial value problem where x(0) = 3, y(0) = 4.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
Question
Transcribed Image Text:Consider the differential equation
d
x(t) = 4x − y
dt
d
dt
y(t) = 2x + y.
Write the differential equation in matrix form. Characterise the equilibrium at the origin
and solve the initial value problem where x(0) = 3, y(0) = 4.
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