Complementary function (or complementary solution) is the general solution to a differential equation dy/dx + 3y = 0.
Particular integral (I prefer "particular solution") is any solution you can find to the whole equation.
The general solution of a differential equation, involving an arbitrary constant, represents more than one, even infinitely many, solutions.
The solutions obtained by assigning definite value to the constant is called a particular solution. typically, the value is determined by making the solution satisfy a given condition, traditionally referred to as initial condition.
Particular integral (I prefer "particular solution") is any solution you can find to the whole equation.
The general solution of a differential equation, involving an arbitrary constant, represents more than one, even infinitely many, solutions.
The solutions obtained by assigning definite value to the constant is called a particular solution. typically, the value is determined by making the solution satisfy a given condition, traditionally referred to as initial condition.
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