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What is the difference between a homogeneous and a non-homogeneous differential equation?
Wiki User
∙ 11y ago
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.
ibrahim 120230210
Wiki User
∙ 11y agoa 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.
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Who is father of differential equation?
leibniz
The solution to the differential equation dydxx2y3 , where y (3) 3 is?
y = 43x3+45‾‾‾‾‾‾‾‾‾‾√4
Applications of laplace transform in engineering?
Laplace transforms to reduce a differential equation to an algebra problem. Engineers often must solve difficult differential equations and this is one nice way of doing it.
Solve py plus qz equals pq by charpit method in partial differential equation?
z=pq
What is the difference between the root of an equation and the solution of an equation?
Root means solution in this context.
Why x-3 equals 0 is non homogeneous?
Because homogeneous equations normally refer to differential equations. The one in the question is not a differential equation.
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 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 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.
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.
What is a vertical change in relation to slope?
Gradient (on a graph as I assume you mean), or the differential of the line's equation (dy/dx which means "the difference in y with respect to a difference in x").
How do you find general solutions to difference equations in time series give written example please?
The answer will depend on the nature of the differential equation.
Who is father of differential equation?
leibniz
