Question 2. Find a linear differential equation of order 5 of real constant coefficients, that is an equation of the format a5y (5)+a4y(4)+a3y(3)+a2y″+a1y′+aoy = 0 with a0, a1, a2, a3, a4, a5 real numbers, such that it satisfies: 1. y(t) = t is a solution. 2. y(t) = c₁e² + C2e² cos(t) is a solution for all constants c₁ and c₂.
Question 2. Find a linear differential equation of order 5 of real constant coefficients, that is an equation of the format a5y (5)+a4y(4)+a3y(3)+a2y″+a1y′+aoy = 0 with a0, a1, a2, a3, a4, a5 real numbers, such that it satisfies: 1. y(t) = t is a solution. 2. y(t) = c₁e² + C2e² cos(t) is a solution for all constants c₁ and c₂.
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.CR: Chapter 11 Review
Problem 12CR
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Transcribed Image Text:Question 2.
Find a linear differential equation of order 5 of real constant
coefficients, that is an equation of the format a5y (5)+a4y(4)+a3y(3)+a2y″+a1y′+aoy = 0
with a0, a1, a2, a3, a4, a5 real numbers, such that it satisfies:
1. y(t) = t is a solution.
2. y(t) = c₁e² + C2e² cos(t) is a solution for all constants c₁ and c₂.
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