What are the “solutions” relative to differential equations?
There are three types of “solutions” when discussing differential equations:
General solution—This includes the solutions obtained from integration of the differential equations. In particular, the general solution of an nth order ordinary differential equation has n arbitrary constants from integrating n times.
Singular solution—Solutions that can’t be expressed by the general solutions. Particular solution—Solutions obtained from giving specific values to the arbitrary constants in the general solution.