Consider the initial value problem

Which of these statements are true? Select all that apply.
A) There exists a nonzero real number r such that y(t) = is a solution of the initial value problem.
B) This initial value problem has only one solution on the interval (-7, 5).
C) The constant function y(t) = -1 is a solution of this initial value problem for all real numbers t.
D) There must exist a function y = ?(t) that satisfies this initial value problem on the interval .
E) The constant function y(t) = 0 is the unique solution of this initial value problem on the interval .

Question

Consider the initial value problem

Which of these statements are true? Select all that apply.
A) There exists a nonzero real number r such that y(t) = is a solution of the initial value problem. 
B) This initial value problem has only one solution on the interval (-7, 5). 
C) The constant function y(t) = -1 is a solution of this initial value problem for all real numbers t. 
D) There must exist a function y = ?(t) that satisfies this initial value problem on the interval . 
E) The constant function y(t) = 0 is the unique solution of this initial value problem on the interval .

Quizplus · Accepted Answer

The Answer of Consider the initial value problem

Which of these statements are true? Select all that apply.
A) There exists a nonzero real number r such that y(t) = is a solution of the initial value problem. 
B) This initial value problem has only one solution on the interval (-7, 5). 
C) The constant function y(t) = -1 is a solution of this initial value problem for all real numbers t. 
D) There must exist a function y = ?(t) that satisfies this initial value problem on the interval . 
E) The constant function y(t) = 0 is the unique solution of this initial value problem on the interval .

Consider the Initial Value Problem