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For the initial value problem y' = f(x,y) with y(0)  = 0,
which of the following statement is true?
  • a)
    f(x, y) =  V satisfies. Lipschitz’s condition and IVP has unique solution.
  • b)
     does not satisfy Lipschitz’s condition and IVP has no solution
  • c)
    f(x,y) = |y| satisfies Lipschitz condition and IVP has uniaue solution
  • d)
     f(x, y) = |y| does not satisfy Linschitz condition.
Correct answer is option 'C'. Can you explain this answer?
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For the initial value problemy = f(x,y) withy(0) = 0,which of the following statement is true?a)f(x, y) =V satisfies. Lipschitz’s condition andIVP has unique solution.b)does not satisfy Lipschitz’s conditionand IVP has no solutionc)f(x,y) = |y| satisfies Lipschitz condition and IVPhas uniaue solutiond)f(x, y) = |y| does not satisfy Linschitz condition.Correct answer is option 'C'. Can you explain this answer?
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