(d)
Solutions must exist whenever the right-hand side of the ODE is continuously differentiable. That is, all IC of the form with both and .
![[Maple Math]](images/exam1-soln31.gif){kind=small}
with both
![[Maple Math]](images/exam1-soln32.gif){kind=small}
and
![[Maple Math]](images/exam1-soln33.gif){kind=small}
.
with both
and
.