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A differential equation have a solution. It is continuous in the given region, but the solution of the impulsive differential equations have piecewise continuous.
The impulsive differential system have first order discontinuity. This type of problems have more applications in day today life. Impulses are arise more natural in evolution system.
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What is impulsive differential equation?
Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined at each ti in the domain. So, differential equation with the impulsive effects we call it as impulsive differential equation (IDE). The solutions of the differential equation is continuous in the domain. But the solutions of the IDE are piecewise continuous in the domain. This is due to the nature of impulsive system. Generally IDE have first order discontinuity. There are so many applications for IDE in practical life.
Application of differential equation in chemistry?
The rate at which a chemical process occurs is usually best described as a differential equation.
Why you solve a differential equation for x?
In its normal form, you do not solve differential equation for x, but for a function of x, usually denoted by y = f(x).
What does PDE stand for?
PDE stands for Partial Differential Equation
What are the applications of differential equations?
Many real world problems can be represented by first order differential equation. Some applications of differential equation are radio-active decay and carbon dating, population growth and decay, warming/cooling law and draining a tank.
What is impulsive differential equation?
Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined at each ti in the domain. So, differential equation with the impulsive effects we call it as impulsive differential equation (IDE). The solutions of the differential equation is continuous in the domain. But the solutions of the IDE are piecewise continuous in the domain. This is due to the nature of impulsive system. Generally IDE have first order discontinuity. There are so many applications for IDE in practical life.
what is differential equation?
Differential equation is defined in the domain except at few points (may be consider the time domain ti ) may be (finite or countable) in the domain and a function or difference equation is defined at each ti in the domain. So, differential equation with the impulsive effects we call it as impulsive differential equation (IDE). The solutions of the differential equation is continuous in the domain. But the solutions of the IDE are piecewise continuous in the domain. This is due to the nature of impulsive system. Generally IDE have first order discontinuity. There are so many applications for IDE in practical life.
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 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 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.
What is the balance chemical equation for the first law of thermodynamics?
dU=q-w where dU is the differential change in internal energy q is the differential quantity of heat added to a system w is the differential quantity of work done by a system on its surroundings
What is monge's Method?
Monge's method, also known as the method of characteristics, is a mathematical technique used to solve certain types of partial differential equations. It involves transforming a partial differential equation into a system of ordinary differential equations by introducing characteristic curves. By solving these ordinary differential equations, one can find a solution to the original partial differential equation.
What are different ways to solve a system of equation?
That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential
What are the applications of impulsive differential equation in day today life?
If you happened to know impulsive differential equations and there was an outbreak of swine flu, bird flu, zombie bumblebees, etc., and there was a method to treat them (and you knew about it), then you *could* tell how likely it is that the treatment would be effective, and how long that would take. That could affect your stock portfolio, or whether or not you want to leave the house or answer the door because it's worth quarantining yourself away from disease... which could also just make you look like a crazy person because even if *you* can tell using impulsive differential equations that we're all doomed, your neighbors probably don't.
Application of differential equation in chemistry?
The rate at which a chemical process occurs is usually best described as a differential equation.
What is the Order of a differential equation?
The order of a differential equation is a highest order of derivative in a differential equation. For example, let us assume a differential expression like this. d2y/dx2 + (dy/dx)3 + 8 = 0 In this differential equation, we are seeing highest derivative (d2y/dx2) and also seeing the highest power i.e 3 but it is power of lower derivative dy/dx. According to the definition of differential equation, we should not consider highest power as order but should consider the highest derivative's power i.e 2 as order of the differential equation. Therefore, the order of the differential equation is second order.
Example of total partial and original differential equation?
An ordinary differential equation (ODE) has only derivatives of one variable.
