1. Consider the ODE y(n) (t) – y(t) = = 0. (a) What's one solution of this ODE? (b) ISupposen is even. Find one more solution that is linearly independent from the one given in part a. (c) How many more linearly independent solutions are there? What do you know about the form of these solutions? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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1. Consider the ODE y(n) (t) – y(t) = 0.
(a) What's one solution of this ODE?
(b) ISupposen is even. Find one more solution that is linearly independent from the one
given in part a.
(c) How many more linearly independent solutions are there? What do you know about the
form of these solutions? Explain.
Transcribed Image Text:1. Consider the ODE y(n) (t) – y(t) = 0. (a) What's one solution of this ODE? (b) ISupposen is even. Find one more solution that is linearly independent from the one given in part a. (c) How many more linearly independent solutions are there? What do you know about the form of these solutions? Explain.
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