Consider the Initial Value Problem

Multiple Choice

Consider the initial value problem

The following table provides the estimation for the solution at different t values using the Euler and Improved Euler methods with a step size of 0.25.

Based on the table above, which of the following is true regarding the given initial value problem?

A) There is no numerical solution at y(0) = 1.
B) A numerical solution can never be close to the exact solution.
C) has a vertical asymptote for y(t) between [0.25, 1].
D) There is a solution which contains a horizontal asymptote.
E) There is a solution which contains a vertical asymptote.