In Problems 37-41, find three linearly independent solutions (see Problem 35) of the given third-order differential equation and write a general solution as an arbitrary linear combination of these.

\(y^{\prime \prime \prime}+y^{\prime \prime}-6 y^{\prime}+4 y=0\)

Equation Transcription:

Text Transcription:

y’’’+y’’-6y’+4y=0

SOLUTION

Step 1

In this problem, we need to find 3 linearly independent solutions for the given differential equation and we write a general solution.