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(Solved): 13 If 0<2<<1, prove that there is a unique continuously differentiable positive functi ...



13 If \( 0<2 \beta<\alpha<1 \), prove that there is a unique continuously differentiable positive function \( u(t) \) on \( 0
13 If , prove that there is a unique continuously differentiable positive function on such that


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We need to prove that there exists a unique continuously differentiable positive function    on   , such that    and   .
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