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.

Question

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.

Quizplus · Accepted Answer

The Answer of   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.

Consider the Initial Value Problem