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MTH 6040 (math 166)

Week 2 Assignment 5 Step 4

QuestionAnswer
Carrying capacity Its the largest number of individuals of a population that an environment can support.
Particular solution A solution that describes a particular function out of a family of functions.
Separable differential equation An equation that can be written in the for y' = f(x)g(y)
Solution curve The graph of a solution of a differential equation
Initial value problem A differential equation coupled with initial data, which allows one to isolate a particular solution.
Ordinary differential equation An equation involving a function y = f(x) and its ordinary first derivative.
General solution The entire set of solutions to a given differential equation
Separation of variables A method used to solve a separable differential equation
Integrating factor A function u(x) that when applied to a linear differential equation will result in a known derivative set equal to an integral.
Order of a differential equation The highest order of any derivative of the unknown function that appears in the equation.
Standard form of a 1st order linear differential equation y' + P(x)y = Q(x)
Initial parameter The value of the parameter (population, velocity, etc.) when the time, t =0
Slope field A plot of short line segments representing the tangents of the solution curves at the points (x, y) in the plane.
Derivative The rate of change of dependent variable of a function with respect to independent variable
Exponential growth When the rate of change of an amount with respect to time is proportional to the amount present at any time.
Created by: mmaloyp
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