MAT 275
differential equation - ANS-an equation for an unknown function that involves the
function's derivative
mathematical model - ANS-an equation that describes a physical process
equilibrium solution - ANS-a differential equation solution function that does not change
in time, in which the first order differential equation is equal to zero
dy/dt = f(∅(t)) = 0
linear differential equation - ANS-a_n (t) y^n (t)+a_(n-1) (t) y^((n-1) ) (t)+⋯+a_1 (t) y^'
(t)=f(t)
where n is the degree of a
order (of a differential equation) - ANS-the highest derivative in a differential equation
solution (of a differential equation) - ANS-a function that satisfies a particular differential
equation
initial conditions - ANS-a set of conditions on the solution that allow us to determine the
particular solution
general solution - ANS-a solution to a differential equation which has many arbitrary
constants as its order
particular solution - ANS-a solution to a differential equation which has no arbitrary
constants
initial value problem (IVP) - ANS-a differential equation with an appropriate number of
initial conditions to solve it exactly (according to its order)
autonomous equation - ANS-an differential equation that does not depend upon the
independent variable (often "t")
dy/dt = f(y)
differential equation - ANS-an equation for an unknown function that involves the
function's derivative
mathematical model - ANS-an equation that describes a physical process
equilibrium solution - ANS-a differential equation solution function that does not change
in time, in which the first order differential equation is equal to zero
dy/dt = f(∅(t)) = 0
linear differential equation - ANS-a_n (t) y^n (t)+a_(n-1) (t) y^((n-1) ) (t)+⋯+a_1 (t) y^'
(t)=f(t)
where n is the degree of a
order (of a differential equation) - ANS-the highest derivative in a differential equation
solution (of a differential equation) - ANS-a function that satisfies a particular differential
equation
initial conditions - ANS-a set of conditions on the solution that allow us to determine the
particular solution
general solution - ANS-a solution to a differential equation which has many arbitrary
constants as its order
particular solution - ANS-a solution to a differential equation which has no arbitrary
constants
initial value problem (IVP) - ANS-a differential equation with an appropriate number of
initial conditions to solve it exactly (according to its order)
autonomous equation - ANS-an differential equation that does not depend upon the
independent variable (often "t")
dy/dt = f(y)
