Solution Found!
In 23–30 verify that the given functions form
Chapter 4, Problem 27E(choose chapter or problem)
In Problems 23–30 verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. Form the general solution.
\(x^{2} y^{\prime \prime}-6 x y^{\prime}+12 y=0 ; \quad x^{3}, x^{4},(0, \quad)\)
Text Transcription:
x^{2} y^{\prime \prime}-6 x y^{\prime}+12 y=0 ; \quad x^{3}, x^{4},(0, \quad)
Questions & Answers
QUESTION:
In Problems 23–30 verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval. Form the general solution.
\(x^{2} y^{\prime \prime}-6 x y^{\prime}+12 y=0 ; \quad x^{3}, x^{4},(0, \quad)\)
Text Transcription:
x^{2} y^{\prime \prime}-6 x y^{\prime}+12 y=0 ; \quad x^{3}, x^{4},(0, \quad)
ANSWER:Step 1 of 5
In this problem, we are asked to verify that the given functions form a fundamental set of solutions of differential equations on the indicated interval and form a general solution. with solutions
,
in the interval (0,
).