Question

Partial, and Linear Differential Equations
In This Article
By Mark Zegarelli

Differential equations (DEs) come in many varieties. And different varieties of DEs can be solved using different methods. You can classify DEs as ordinary and partial Des. In addition to this distinction they can be further distinguished by their order.

Here are some examples:

Multiple differential equations.

Solving a differential equation means finding the value of the dependent variable in terms of the independent variable. The following examples use y as the dependent variable, so the goal in each problem is to solve for y in terms of x.

An ordinary differential equation (ODE) has only derivatives of one variable — that is, it has no partial derivatives. Here are a few examples of ODEs:

Three ordinary differential equations.

In contrast, a partial differential equation (PDE) has at least one partial derivative. Here are a few examples of PDEs:

Several differential equations with at least one partial derivative

DEs are further classified according to their order. This classification is similar to the classification of polynomial equations by degree.​

Answer 1

Answer:

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