Solution Found!
Solution: In 23–30 verify that the given functions form a
Chapter 4, Problem 26E(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.
\(4 y^{\prime \prime}-4 y^{\prime}+y=0 ; \quad e^{x / 2}, x e^{x / 2},(-\infty, \quad)\)
Text Transcription:
4 y^{\prime \prime}-4 y^{\prime}+y=0 ; \quad e^{x / 2}, x e^{x / 2},(-\infty, \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.
\(4 y^{\prime \prime}-4 y^{\prime}+y=0 ; \quad e^{x / 2}, x e^{x / 2},(-\infty, \quad)\)
Text Transcription:
4 y^{\prime \prime}-4 y^{\prime}+y=0 ; \quad e^{x / 2}, x e^{x / 2},(-\infty, \quad)
ANSWER:Step 1 of 5
In this problem, we need to verify that the given functions form a fundamental set of solutions of the differential equation
4y'' - 4y' + y = 0 ; =
;
= x