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A difference equation relates the values of a sequence at discrete points, typically involving shifts in the sequence, such as (y(n) = ay(n-1) + b). In contrast, a differential equation involves continuous functions and their derivatives, describing how a function changes over continuous intervals, such as (\frac{dy}{dt} = ky). Essentially, difference equations are used for discrete systems, while differential equations apply to continuous systems.

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What is the difference between an ordinary differential equation and a partial differential equation?

ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.


What are the difference between differential equation and difference equation?

Differential equations involve functions and their derivatives, representing relationships involving continuous change, often used in modeling physical systems. In contrast, difference equations deal with discrete variables and represent relationships between values at different points in sequences, commonly used in computer algorithms and financial modeling. Essentially, differential equations apply to continuous scenarios, while difference equations focus on discrete scenarios.


The difference between differential and derivative?

They are the same thing.


What is the difference between an equation and an expression?

Expression has no answer. a equation has an answer


Definition of quadratic equation related to differential equation?

A quadratic equation is a polynomial equation of the form ( ax^2 + bx + c = 0 ), where ( a ), ( b ), and ( c ) are constants, and ( a \neq 0 ). In the context of differential equations, a second-order linear differential equation can resemble a quadratic equation when expressed in terms of its characteristic polynomial, particularly in the case of constant coefficients. The roots of this polynomial, which can be real or complex, determine the behavior of the solutions to the differential equation. Thus, while a quadratic equation itself is not a differential equation, it plays a significant role in solving second-order linear differential equations.

Related Questions

What is the difference between an ordinary differential equation and a partial differential equation?

ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.


What is the difference between a first order and a second order differential equation?

A first order differential equation involves only the first derivative of the unknown function, while a second order differential equation involves the second derivative as well.


What is the difference between fuzzy differential equation and ordinary differential equation?

fuzzy differential equation (FDEs) taken account the information about the behavior of a dynamical system which is uncertainty in order to obtain a more realistic and flexible model. So, we have r as the fuzzy number in the equation whereas ordinary differential equations do not have the fuzzy number.


What is the differential pressure equation used to calculate the pressure difference between two points in a fluid system?

The differential pressure equation used to calculate the pressure difference between two points in a fluid system is P gh, where P is the pressure difference, is the density of the fluid, g is the acceleration due to gravity, and h is the height difference between the two points.


What is the difference between absolute continuity and differential continuity?

What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples


What is the difference between differential continuity and absolute continuity?

What is the difference between absolute continuity and differential continuity? Do an individual's experiences affect differential continuity? Provide specific examples


What is the difference between differential cost and incremental cost?

There is no difference


How do you calculate Orifice plate differential pressure?

To calculate the orifice plate differential pressure, you can use the Bernoulli's equation or the ISO 5167 standard equation. Measure the pressure upstream and downstream of the orifice plate using pressure gauges, then find the difference between these two pressures to determine the differential pressure across the orifice plate.


What is the difference between a homogeneous and a non-homogeneous differential equation?

a linear first-order differential equation is homogenous if its right hand side is zero & A linear first-order differential equation is non-homogenous if its right hand side is non-zero.


What is a differential cash flow?

Differential cash is the difference in cash due between selecting between different alternative options or projects.


The difference between differential and derivative?

They are the same thing.


What is Exact ordinary differential equation?

exact differential equation, is a type of differential equation that can be solved directly with out the use of any other special techniques in the subject. A first order differential equation is called exact differential equation ,if it is the result of a simple differentiation. A exact differential equation the general form P(x,y) y'+Q(x,y)=0Differential equation is a mathematical equation. These equation have some fractions and variables with its derivatives.