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The Wronskian of the function x |x| is zero for

  • a)
    x = 0

  • b)
    x > 0

  • c)
    x < 0

  • d)
    all x

Correct answer is option 'A'. Can you explain this answer?
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The Wronskian of the functionx |x| is zero fora)x = 0b)x > 0c)x <...
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The Wronskian of the functionx |x| is zero fora)x = 0b)x > 0c)x <...
Wronskian never changes its sign in a particular domain. If f1 and f2 are two solutions of the differential equation then W( f1,f2)(x) is either identically zero or never zero . since the wronskian is zero hence it's everywhere zero .hence option A
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