The highest power of the highest-order derivative in a differential eq..
The highest power of the highest-order derivative in a differential equation is ________ of the differential equation. => Degree or Order or Power or Both A and B..
The highest order derivative of the unknown function occuring in the d..
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..
Order of a differential Equation:
is the order of the derivative of the highest order, occurring in the differential equation..
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 ..
Definition 2 (Order of Differential Equation)
The order of differential equation is defined to be the order of the highest order derivative of the dependent variable occurring in the differential equation. Example:..
The order of differential equation is defined to be the order of the highest order derivative of the dependent variable occurring in the differential equation. Example:..Derivatives of Second Order
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. ..
Differentiability
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f'(a) and f'(x) respectively. The restriction in both the cases is that 'the limit must exist'. If does not exist, then we sa..
We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f'(a) and f'(x) respectively. The restriction in both the cases is that 'the limit must exist'. If does not exist, then we sa..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:..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 differe..
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..
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