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There are many kinds of differential equations and their solutions require different methods.

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0In its normal form, you do not solve differential equation for x, but for a function of x, usually denoted by y = f(x).

I assume that you mean that you are given a differential equation dy/dx and want to solve it. If that is the case, then you would multiply by dx on both sides and then integrate both the left and right sides of the equation.

The solution to a differential equation requires integration. With any integration, there is a constant of integration. This constant can only be found by using additional conditions: initial or boundary.

That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential

Another method to solve differential equation is taking y and dy terms on one side, and x and dy terms on other side, then integrating on both sides.This is a general solution. So if we want to particular solution we choose initial conditions.

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.

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

There is no application of differential equation in computer science

A differential equation is a tool to certains carrers to find and solve all kinds of problems, in my case i'm a civil engineer and i use this tool to solve problems in the area of hidraulics, and in the area of structures. The differencial ecuations have all kinds of uses in the area of engieneering and in other fields too

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.

In a computer there are many A/D converters that put analog into digital. This signal is what is usually then led into an op amp which in the right configuration can be designed into an integrator or differentiator which is then used to solve differential equations.

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.

The rate at which a chemical process occurs is usually best described as a differential equation.

George E. Forsythe has written: 'What is a satisfactory quadratic equation solver?' 'Finite-difference methods for partial differential equations' 'How do you solve a quadratic equation?'

An equation in terms of functions and its nth-order derivatives. For example, dy/dx = x^2 + y is a differential equation.

The parabolic heat equation is a partial differential equation that models the diffusion of heat (i.e. temperature) through a medium through time. More information, including a spreadsheet to solve the heat equation in Excel, is given at the related link.

An ordinary differential equation (ODE) has only derivatives of one variable.

Sure. You can always 'solve for' a variable, and if it happens to be the only variable in the equation, than that's how you solve the 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.

you don't answer an equation, you solve an equation

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.

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.

-2y square exp power -2x-1

If you solve such an equation for "y", you get an equation in the slope-intercept form.

An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.

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