An ordinary differential equation is an equation relating the derivatives of a function to the function and the variable being differentiated against. For example, dy/dx=y+x would be an ordinary differential equation. This is as opposed to a partial differential equation which relates the partial derivatives of a function to the partial variables such as d²u/dx²=-d²u/dt². In a linear ordinary differential equation, the various derivatives never get multiplied together, but they can get multiplied by the variable. For example, d²y/dx²+x*dy/dx=x would be a linear ordinary differential equation. A nonlinear ordinary differential equation does not have this restriction and lets you chain as many derivatives together as you want. For example, d²y/dx² * dy/dx * y = x would be a perfectly valid example
Civil engineers use partial differential equations in many different situations. These include the following: heating and cooling; motion of a particle in a resisting medium; hanging cables; electric circuits; natural purification in a stream.
All the optimization problems in Computer Science have a predecessor analogue in continuous domain and they are generally expressed in the form of either functional differential equation or partial differential equation. A classic example is the Hamiltonian Jacobi Bellman equation which is the precursor of Bellman Ford algorithm in CS.
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.
The answer will depend on the nature of the differential equation.
Differential medium.
A medium and a pressure differential
Both
water is an example of a medium.
It is a SELECTIVE DIFFERENTIAL media used for the groth of Corynebacterium diphtheria.
Differential media is able to distinguish different species or types of microorganisms based on an observable change in the colonies or in the medium. This type of medium contains specific nutrients or indicators that allow for differentiation between microorganisms based on their metabolic capabilities or other physiological characteristics.
Tryptone broth is neither differential nor selective media. It is a nutrient-rich medium used for the growth of a wide range of microorganisms.
An ordinary differential equation (ODE) has only derivatives of one variable.
Yes, air is an example of a medium. In the context of sound or light waves, air serves as a medium through which these waves can travel.
Litmus milk is a good differential medium because it can show the presence of various metabolic reactions. It can detect changes in pH due to lactose fermentation, protein degradation, and lipid hydrolysis, which can help differentiate between different bacteria based on their metabolic capabilities. The color changes in litmus milk can provide valuable information about the biochemical characteristics of the bacteria being tested.
Niagara falls was formed by differental erosion
A medium typically refers to an intermediary or means of communication between two parties. For example, a telephone is a medium for verbal communication, while a newspaper can be a medium for disseminating information to a wide audience.