If I understand what you're asking, they wouldn't be in some list of general formulas because they are trivial to solve.Admiralibr123 said:I have just started out with ODE's and in none of the general form in the classification have I seen a term with no variable but some questions do have constants in the exercise. I am just confused as to why are they not in general forms. Are they redundant? Do they not contribute anything to the solution?
Constants in DEs (differential equations) are values that remain unchanged throughout the entire equation. They are typically represented by letters such as C or K, and their value is determined by the initial conditions of the problem.
Constants are not included in general forms of DEs because they are specific to each individual problem. Including them in the general form would make it less general and more specific to a particular scenario.
Constants are used in solving DEs by allowing us to find the particular solution to a problem. By using the initial conditions and substituting them into the general form of the DE, we can solve for the values of the constants and obtain a specific solution.
No, constants cannot change in value throughout the equation. They remain constant and unchanged throughout the entire problem, and their value is determined by the initial conditions.
Yes, constants are necessary in solving DEs as they allow us to find the particular solution to a problem. Without them, we would only have a general solution that is not specific to any particular scenario.