# Solutions to Two Separable Differential Equations

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.

https://brainmass.com/math/calculus-and-analysis/separable-differential-equations-451315

#### Solution Summary

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

$2.19