First-Order ODE Flashcards
(10 cards)
is the largest derivative present in the differential equation.
order
Contains at least one partial derivative of some dependent variable.
Partial Differential Equation (PDE)
A differential equation for a function of a single variable.
Ordinary Differential Equation (ODE)
is the exponent of the highest order derivative when the equation satisfies specific conditions
degree
Non-empty set of solutions specified by an expression which contains at least one parameter. It contains arbitrary constant C
general solution
a first-order ordinary differential equation that is algebraically reducible to a standard differential form in which each of the nonzero terms contains exactly one variable
separable ODE
Each individual solution of a differential equation. It does not contain arbitrary constant
particular solution
does not depend on whether the function is an ordinary or partial derivatives
order
It is a mathematical equation that relates some function with its derivatives
differential equation
It is any equation which contains derivatives, either ordinary derivatives or partial derivatives
differential equation