In 9 through 14, find a general solution to

Chapter 4, Problem 12E

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QUESTION:

In Problems 9 through 14, find a general solution to the given Cauchy-Euler equation for \(t>0\).

\(t^{2} \frac{d^{2} z}{d t^{2}}+5 t \frac{d z}{d t}+4 z=0\)

Equation Transcription:

Text Transcription:

t>0

t^{2} {d^{2}z}over{d t^{2}}+5t {dz}over{dt}+4z=0

Questions & Answers

QUESTION:

In Problems 9 through 14, find a general solution to the given Cauchy-Euler equation for \(t>0\).

\(t^{2} \frac{d^{2} z}{d t^{2}}+5 t \frac{d z}{d t}+4 z=0\)

Equation Transcription:

Text Transcription:

t>0

t^{2} {d^{2}z}over{d t^{2}}+5t {dz}over{dt}+4z=0

ANSWER:

SOLUTION

Step 1 :

In this problem we have to find the general solution of the given cauchy euler equation

Given equation is

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