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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.
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
Can you solve the differential equation dy over dx equals y squared over e to the 2x power?
-2y square exp power -2x-1
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.
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 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 an equation that contains a variable?
It is an equation. It could be an algebraic equation, or a trigonometric equation, a differential equation or whatever, but it is still an equation.
What is the general solution of a differential equation?
It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.
Heat equation partial differential?
Yes, it is.
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 are the applications of differential equations in software engineering in detail?
There is no application of differential equation in computer science
How do solve for differential equation?
There are many kinds of differential equations and their solutions require different methods.
