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Let y1 and y2 be two linearly independent solutions of y" + (sin x)y = 0, 0 ≤ x ≤ 1
Let g(x) = W(y1, y2) (x) be the Wronskian of y1 and y2.
Then,
  • a)
    g' > 0 on (0 ,1 )
  • b)
    g' < 0 on [0,1]
  • c)
    g' vanishes at only one point of [0, 1]
  • d)
    g' vanishes at all points of [0, 1]
Correct answer is option 'B'. Can you explain this answer?
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Option D is right answer
by able formula for wronskin
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Let y1 and y2 be two linearly independent solutions ofy" + (sin x)y = 0, 0 ≤ x ≤ 1Let g(x) = W(y1, y2) (x) be the Wronskianof y1 and y2.Then,a)g > 0 on (0 ,1 )b)g < 0 on [0,1]c)g vanishes at only one point of [0, 1]d)g vanishes at all points of [0, 1]Correct answer is option 'B'. Can you explain this answer?
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