(Solved):   Determine whether existence of at least one solution of the given initial value problem is ...

 

Determine whether existence of at least one solution of the given initial value problem is thereby guaranteed and, if so, whether uniqueness of that solution is guaranteed. 2. \( (10 \mathrm{pts}) \frac{d y}{d x}=\ln \left(1+y^{2}\right), \quad y(0)=0 \)