What is the difference between particular and singular solutions of an ordinary differential equation? Which of the following options best describes the difference?
A) Particular solutions satisfy the differential equation, while singular solutions do not.
B) Singular solutions involve only one variable, while particular solutions involve multiple variables.
C) Particular solutions satisfy the differential equation and all initial conditions, while singular solutions satisfy only some initial conditions.
D) Singular solutions are unique, while particular solutions can have multiple forms.