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Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit.

A differential equation is an equation expressing a relationship between a named function and its derivatives. This can be as simple as y = y', where y is the original function and y' the derivative.

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Q: What is the difference between differentiation and a differential equation?
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What is the difference between differential and differentiation?

A differential is the result gained when mathematical differentiation is applied to a function. Differentiation in maths is the function which finds the gradient of a function in terms of x. Differentiation in biology is the specialisation of unspecialised cells such as stem cells into active cells.


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 Integration and differentiation?

integration is reverse of differentiation and vice versa


Is there zero order derivative equation?

I donot know whether there is actually a zero-order derivative equation, where the equation is defined as having two sides with equality or inequality sign between them. If the question is about a zero-order derivative function, then the answer is yes, since the zero order derivative is the function itself. ------------------ However, as far as we can talk about the differential equation- there is no meaning of "Zero Degree" but as many times while using expansion of differential operator using binomial theorem or while using Leibnitz's rule of differentiation, we simply denote derivatives of zero degree for no differentiation, we can say, for understanding, tha the equations without derivatives eg. y =mx can be treated as Differential Equation of Zero Order.


The difference between differential and derivative?

They are the same thing.

Related questions

What is the difference between differential and differentiation?

A differential is the result gained when mathematical differentiation is applied to a function. Differentiation in maths is the function which finds the gradient of a function in terms of x. Differentiation in biology is the specialisation of unspecialised cells such as stem cells into active cells.


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 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 difference between differential lock and interaxle differential lock?

Differential lock is a driver controlled locking mechanism which locks the speed differentiation of axle halfshafts in differential mechanisms.After locking, both wheels rotate in same speed.But the interaxle differential(IAD) lockstopsthe speed differentiation of two axles in Tandem axle vehicles by locking the inter axle differential(third differential),after locking IAD both pinions rotate in same speed.


What is the difference between Integration and differentiation?

integration is reverse of differentiation and vice versa


What is the differene between analytical and numerical differentiation?

numerical method 1:numerical method uses finite difference or finite element method approximation to solve differential equation 2:give just approximation of the perfect solution analytical method 1:does not uses finite difference 2:give theoreticaly perfect solution.


What is the difference between determination and differentiation?

Determination is coming to a factual conclusion on a singular thing while differentiation is the difference between two or more things... So you could make a determination about the differentiation


Is there zero order derivative equation?

I donot know whether there is actually a zero-order derivative equation, where the equation is defined as having two sides with equality or inequality sign between them. If the question is about a zero-order derivative function, then the answer is yes, since the zero order derivative is the function itself. ------------------ However, as far as we can talk about the differential equation- there is no meaning of "Zero Degree" but as many times while using expansion of differential operator using binomial theorem or while using Leibnitz's rule of differentiation, we simply denote derivatives of zero degree for no differentiation, we can say, for understanding, tha the equations without derivatives eg. y =mx can be treated as Differential Equation of Zero Order.


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


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

Homogeneous differential equations have all terms involving the dependent variable and its derivatives, while non-homogeneous equations include additional terms independent of the dependent variable.