Consider the initial value problem

What can be said about the applicability of the existence and uniqueness theorem to this initial value problem?
A) The theorem does not apply because the initial condition is prescribed at t = 0 and the function equals 0 when evaluated at such a point.
B) The theorem does not apply because the function is discontinuous at any point of the form (t, 6).
C) The theorem applies and ensures the existence of a unique local solution of this initial value problem.
D) The theorem does not apply because the differential equation is nonlinear.

Question

Consider the initial value problem

What can be said about the applicability of the existence and uniqueness theorem to this initial value problem?
A) The theorem does not apply because the initial condition is prescribed at t = 0 and the function equals 0 when evaluated at such a point. 
B) The theorem does not apply because the function is discontinuous at any point of the form (t, 6). 
C) The theorem applies and ensures the existence of a unique local solution of this initial value problem. 
D) The theorem does not apply because the differential equation is nonlinear.

Quizplus · Accepted Answer

The Answer of Consider the initial value problem

What can be said about the applicability of the existence and uniqueness theorem to this initial value problem?
A) The theorem does not apply because the initial condition is prescribed at t = 0 and the function equals 0 when evaluated at such a point. 
B) The theorem does not apply because the function is discontinuous at any point of the form (t, 6). 
C) The theorem applies and ensures the existence of a unique local solution of this initial value problem. 
D) The theorem does not apply because the differential equation is nonlinear.

Consider the Initial Value Problem