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Question

Real Analysis Question on Sequences and Series

Let S be the set of all real numbers α such that the solution y of the initial value problem
dydx=y(2y),\y(0)=α,\frac{dy}{dx}=y(2-y),\\\y(0)=\alpha,
exists on [0, ∞). Then the minimum of the set S is equal to __________. (rounded off to two decimal places)

Answer

The correct answer is -0.01 to 0.01.(approx)