In a homogeneous linear differential equation

Chapter 4, Problem 58E

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QUESTION:

In Problems 49–58 find a homogeneous linear differential equation with constant coefficients whose general solution is given.

\(y=c_{1} \cos x+c_{2} \sin x+c_{3} \cos 2 x+c_{4} \sin 2 x\)

Text Transcription:

y=c_{1} \cos x+c_{2} \sin x+c_{3} \cos 2 x+c_{4} \sin 2 x

Questions & Answers

QUESTION:

In Problems 49–58 find a homogeneous linear differential equation with constant coefficients whose general solution is given.

\(y=c_{1} \cos x+c_{2} \sin x+c_{3} \cos 2 x+c_{4} \sin 2 x\)

Text Transcription:

y=c_{1} \cos x+c_{2} \sin x+c_{3} \cos 2 x+c_{4} \sin 2 x

ANSWER:

Step 1 of 4

In this problem, we are given the solution and we need to find its homogeneous linear solution.

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