Consider the Cauchy-Euler equation a" a = 0. t2 (a) What is the associated indicial equation? Usem as the variable. Your answer should be an equation. (b) Find the general solution to the Cauchy-Euler equation. Use ci and c2 as arbitrary constants. ¤(t) = %3D

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 1E
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Consider the Cauchy-Euler equation x" +
t2
0 = x
(a) What is the associated indicial equation? Use m as the variable. Your answer should be an equation.
(b) Find the general solution to the Cauchy-Euler equation. Use ci and c2 as arbitrary constants.
x(t)
%3D
Transcribed Image Text:3 Consider the Cauchy-Euler equation x" + t2 0 = x (a) What is the associated indicial equation? Use m as the variable. Your answer should be an equation. (b) Find the general solution to the Cauchy-Euler equation. Use ci and c2 as arbitrary constants. x(t) %3D
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