order of partial derivatives

The order of a differential equation is equal to the highest derivative in the equation. The single-quote indicates differentiation. So x ' is a first derivative, while x '' is a second derivative. x ' = 1/ x is first-order. ..

Similarly, higher order derivatives can also be define..

The highest exponent of the highest order derivative in a differential equation is the ______ of the differential equation. => Degree or Order or Exponent or Both A and B or Both B and C..

The order of the highest order derivative of the unknown function occurring in the differential equation is the _______ of the differential equation. => Order or Degree or Particular solution or None of the above..

The highest order derivative of the unknown function occuring in the differential equation is the ________ of the differential equation => Power or Order or Degree or Particular solution or General solution..

The differential equation in which only the first derivative of the unknown function appears, is called First order differential equation. Example:..

A complex reaction involving two series reactions can be of the type, A reacts to give B, which is then transformed to C. Both the elementary reactions (1) and (2) exhibit first - order kinetics, that is, For this reaction, [A] = [A] o exp (-k 1 t) (36) It is difficult to derive..

Second-order differential equations, by definition, contain a second derivative, like d 2 y/dx 2 , for example. As well as the second derivative, there may also be a first derivative in the equation and sometimes a term involving just y itsel..

The given chemical equation is split into two or more partial equations. Each partial equation is separately balanced by the hit and trial method. These balanced partial equations are multiplied with suitable coefficients in order to exactly cancel ou..

Conclusion Differentiation - In this chapter, we have studied various techniques of differentiation. Also, we have studied the method of obtaining higher order derivatives of functions which is useful in maxima and minima problems.In this chapter, we have studied various techniq..