Definition 1 (Differential Equation)
A differential equation is a relation between the independent, dependent variables and their differential coefficients. Example:..
A differential equation is a relation between the independent, dependent variables and their differential coefficients. Example:..Differentiation
Differentiation - Differentiation is the process by which the unspecialised embryonic cells change in structure and function during development and growth of an organism to form specialised cell types, tissues, and organs, distinct from one another. Differentiatio..
Differentiation
Introduction - The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medicine and computer sci..
Developoment and Differentiation
Differentiation - Differentiation is the process by which the unspecialised embryonic cells change in structure and function during development and growth of an organism to form specialised cell types, tissues, and organs, distinct from one another. Differentiatio..
Introduction to Differentiation
Introduction to Differentiation - After having studied functions, limits and continuity in the previous chapter, we shall further divide the class of continuous functions into two sub classes, derivable and non-derivable.After having studied functions, limits and continuity in the previou..
Approximations by Differentials
Approximations by Differentials - Let y = f (x) be a differentiable function of x, errors in x and y are denoted by d x and d y, we have \ Error in y = f ' (x) d ..
Approximations by Differentials - Let y = f (x) be a differentiable function of x, errors in x and y are denoted by d x and d y, we have \ Error in y = f ' (x) d ..Formation of a Differential Equation
The equation y = mx has one arbitrary constant and its differential equation is of order 1. The equation y = mx + c has two arbitrary constants and its differential equation is of order ..
Differential equation for wave motion
Differentiating equation (1.7) with respect to x, We get, The velocity of the particle whose displacement y is represented by equation (1.7), is obtained by differentiating it with respect to t, since velocity is the rate of change of displacement with r..
Differentiating equation (1.7) with respect to x, We get, The velocity of the particle whose displacement y is represented by equation (1.7), is obtained by differentiating it with respect to t, since velocity is the rate of change of displacement with r..Formation of a Differential Equation
Consider the family of lines represented by y = mx .(1)Consider the family of lines represented by y = mx .(1) This equation represents infinite number of lines passing through the origin. Differentiating (1), we get Substituting this value of m, we get the h..
Consider the family of lines represented by y = mx .(1)Consider the family of lines represented by y = mx .(1) This equation represents infinite number of lines passing through the origin. Differentiating (1), we get Substituting this value of m, we get the h.. Result
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