Verify by substitution that the indicated family of functions is a solution of the given differential equation. Show your work. The symbol c is a non-zero constant.
Which of the following statements is true regarding the verification of the indicated family of functions as a solution of the given differential equation?
a) The family of functions satisfies the initial conditions of the differential equation.
b) The family of functions produces a unique solution for every value of c.
c) Substituting the family of functions into the differential equation results in an identity.
d) The differential equation has no solutions within the indicated family.