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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
Litmus milk contains several components such as; lactose (milk sugar) casein (milk protein) and Litmus ( Ph indicator) that can be metabolized. Thats why it is considered a good differential medium
Differential
water is an example of a medium.
The use of a medium that is both selective and differential can be justified in a few ways. They allowe the growth of organisms that can be of interest. The media can also be quite useful diagnostically in medical settings.
It is a SELECTIVE DIFFERENTIAL media used for the groth of Corynebacterium diphtheria.
EMB is an undefined selective/differential medium. It contains aniline dyes (methylene blue and eosin), which inhibit the growth of Gram-positive bacteria selecting for Gram-negative bacteria. EMB also contains lactose which makes the media differential based on an organisms ability to ferment lactose
An ordinary differential equation (ODE) has only derivatives of one variable.
There are literally billions of billions of stars. The vast majority are medium stars.
Niagara falls was formed by differental erosion