Solved: In 23–30 verify that the given functions form a

Chapter 4, Problem 24E

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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.

\(y^{\prime \prime}-4 y=0 ; \quad \cosh 2 x, \sinh 2 x,(-\infty, \quad)\)

Text Transcription:

y^{\prime \prime}-4 y=0 ; \quad \cosh 2 x, \sinh 2 x,(-\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.

\(y^{\prime \prime}-4 y=0 ; \quad \cosh 2 x, \sinh 2 x,(-\infty, \quad)\)

Text Transcription:

y^{\prime \prime}-4 y=0 ; \quad \cosh 2 x, \sinh 2 x,(-\infty, \quad)

ANSWER:

Step 1 of 4

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 .

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