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The solutions sin x and cos x of the differential equation  are
  • a)
     Linearly independent
  • b)
     Dependent
  • c)
     These solutions does not exists
  • d)
     None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The solutions sin x and cos x of the differential equation area)Linear...
we find that 
"foe all real x. Thus, since W(sin x , cos x) ≠ 0 for all real x, we conclude that sin x and cos x are indeed linearly independent solutions of the given differential equation on every real interval.
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The solutions sin x and cos x of the differential equation area)Linearly independentb)Dependentc)These solutions does not existsd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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