Suppose a 3rd order constant coefficient ODE has a characteristic equation that had 3 distinct roots, equal to -2, 1 and 4. What is the general solution for this ODE?

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 74E
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Suppose a 3rd order constant coefficient ODE has a characteristic equation that had 3 distinct roots, equal to -2, 1 and 4. What is the general solution for this ODE?
 
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