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What is a degree in a differential equation?

Samueladuosei ∙

Lvl 1

∙ 15y ago

Updated: 12/12/2022

A degree of a differential equation is the highest power of highest order of a differential term of the equation.

For example,

5(d^4 x/dx^4) - (dx/dx)^2 =7

Here 5(d^4x/dx^2) has the highest order and so the degree will be it's power which is 1.

allysia ∙

Lvl 2

∙ 3y ago

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What are the degrees of differential equation?

The degree of a differential equation is the POWER of the derivative of the highest order. Using f' to denote df/fx, f'' to denote d2f/dx2 (I hate this browser!!!), and so on, an equation of the form (f'')^2 + (f')^3 - x^4 = 17 is of second degree.

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 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.

What is an Airy equation?

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

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