Question

Does the existence/uniqueness theorem guarantee that there is a solution to this differential equation through the point?

1) Yes
2) No

Answer 1

The existence/uniqueness theorem guarantees that there is a solution to a differential equation through a given point.

Step-by-step explanation:

The existence/uniqueness theorem in differential equations states that under certain conditions, a solution exists and is unique for a given initial value problem. So, if the existence/uniqueness theorem applies to a given differential equation through a point, then there is a solution through that point. Therefore, the answer to the question is 1) Yes.