ivp differential equations





Logarithmic Differentiation
When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differentiating with respect to x, we get, ..
Differentiability at a Point
A function f(x) is said to be differentiable at a point 'a' if (i) both Rf '(a) and Lf '(a) exists and finite. (ii) Rf '(a) = Lf '(..
Differentiation by Substitution
Differentiation of certain functions seem to be very difficult, but by suitably substituting the independent variable with some trigonometric function or other functions, they can be differentiated easily.Differentiation of certain functions seem to be very difficult, ..
Cell Differentiation
This occurs a little lower down the zone of elongation. Here the cells start maturing to obtain a permanent size. The thin stretched cell walls grow in thickness and then gradually undergo structural and physiological changes depending on their location in the plant. The time interval from the cell..
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 ..
Differential Extraction
To extract a compound that is present in very small amounts in an aqueous solution with the help of an organic liquid in which that compound is highly solubl..
Summary Differentiation
A function f(x) is said to be derivable at a point x = a if A function f(x) is said to be derivable at a point x = a if Left hand derivative Lf '(a) Right hand derivative Rf '(a) f ' (a) exists at x = a iff Lf ' (a) = Rf ' (a)..
Any function that satisfies a differential equation is known as the _..
Any function that satisfies a differential equation is known as the ________ of that differential equation. => Degree or Order or General solution or Particular solution or Linear solution..
Classification of Differential Equation
Classification of Differential Equation - Differential equation are classified according to their order.Differential equation are classified according to their ord..
Classification of Differential Equation
Differential equation are classified according to their order.Differential equation are classified according to their ord..
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