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The solutions sin x and cos x of the differential equation  are
  • a)
    Lineraly indepenedent
  • 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 equationarea)Lineral...
We find that
for 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 differen-tial equation on every real interval.
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The solutions sin x and cos x of the differential equationarea)Lineraly indepenedentb)Dependentc)These solutions does not existsd)None of theseCorrect answer is option 'A'. Can you explain this answer?
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