Differentiability
>does not exist, then we say that the function is not differentiable. If the above limit exists, we say the function f(x) is differentiable. In order to test the differentiability of a function at a point, the right hand derivative and left hand derivatives a..
Order of a differential Equation:
is the order of the derivative of the highest order, occurring in the differential equation..
First Order Differential Equation
The differential equation in which only the first derivative of the unknown function appears, is called First order differential equation. Example:..
The differential equation in which only the first derivative of the unknown function appears, is called First order differential equation. Example:..Solving First Order First Degree Differential Equation
Solving First Order First Degree Differential Equation - The different ways of solving differential equation are a follows:The different ways of solving differential equation are a follows: Method of separation of variables Homog..
Solving First Order First Degree Differential Equation
The different ways of solving differential equation are a follows:The different ways of solving differential equation are a follows: Method of separation of variables Homogeneous differential equations Linear differential eq..
Types of a Second Order Differential Equations
Given Integrate both sides, Integrating once again,..
Given Integrate both sides, Integrating once again,..The highest exponent of the highest order derivative in a differenti..
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..
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 techniques of differentiation..
Introduction to Differentiation
. Differentiation is also used to study the behavior of machinery. What could be the shape of a least expensive machine, which can work effectively? Calculus enables to estimate the reduction in water levels as water is pumped out of tank; to predict the consequences of making errors in m..
Special types of a Second Order Differential Equation
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..
Result
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