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