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    Solutions to Two Separable Differential Equations

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    Please find the attached.

    i) x ̇=-(t+1)x/t
    ii) x ̇=-t^3/(x+1)^2
    a) Find all the solutions of i) and ii).
    b) for i) and ii) Discuss/Give possible choices for a domain B⊂R^2 such that the IVP with x(t_0 )=x_0 has a unique solution.

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    Solution Summary

    This solution solves two separable first-order differential equations with specified initial values, all steps are shown clearly.