Which of the Following Statements Are True for This Initial-Value

Multiple Choice

Which of the following statements are true for this initial-value problem? Select all that apply

A) A locally unique solution is not guaranteed to exist by the local existence and uniqueness theorem for first-order differential equations because is not continuous at the point .
B) y = x - 19 is the only solution of this initial value problem.
C) y = x - 19 and y = 1 - x are both solutions of this initial value problem.
D) This initial value problem cannot have a solution because the conditions of the existence and uniqueness theorem for first-order linear equations are not satisfied.
E) The existence and uniqueness theorem for first-order linear equations ensures the existence of a unique local solution of this initial value problem because x - 10 is continuous at the point (10, 9) .