Main Points
A differential equation (DE) is one involving the derivative of an unknown function. The unknown is a function rather than a number. This function is computed by finding the rate of change per some y-value for a number of x values for the differential equation and finding the formula that fits the pattern of values. This formula then becomes the solution of the differential equation. The general solution of a differential equation is the family of functions of the solution of that DE. A DE satisfied by both the solution and initial condition is a particular solution.
Challenges
I know I should probably understand this but how and why is the unknown of a differential equation a functino rather than a number? Does the solution of a differential equation always include a constant?
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment