basic 3 min read
First-Order Homogeneous Ode
WHAT IS A FIRST-ORDER HOMOGENEOUS ODE? Now any differential equation with is a first-order ODE. This type of equation does not have…
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basic 5 min read
Gauss-Jordan Method To Find Out The Inverse Of A Matrix
Let’s say I have a matrix And I want to find out the inverse of this matrix. Now, to get…
basic 2 min read
First-Order Partial Derivative Of Functions With Three Variables
EXAMPLE 1 According to Stroud and Booth (2013)* “If express in its simplest form SOLUTION Here the given function is And,…
basic 3 min read
The Area Under A Parametric Curve
Suppose and are the parametric equations of a curve. Then the area bounded by the curve, the -axis and the ordinates and will be…
basic 1 min read
Formulas In Differentiation Applications
Suppose is the equation of any curve. So here are the first two formulas. EQUATIONS OF THE TANGENT AND THE NORMAL…
basic 2 min read
Root Mean Square Value Of A Function
Suppose is the equation of a curve. Then the root mean square (rms) value of the function between ad will be Now I’ll…
basic 2 min read
Length Of Any Curve
Let’s suppose is the equation of any curve. Then the length of the curve between and is EXAMPLE 1 According to Stroud and…
basic 2 min read
Nonhomogeneous Poisson Processes
Non-homogeneous Poisson process model (NHPP) represents the number of failures experienced up to time t is a non-homogeneous Poisson process {N(t), t…
basic 2 min read
Homogeneous Poisson Process
The poisson process is one of the most important and widely used processes in probability theory. It is widely used to model…
basic 2 min read
Probability Distributions Set 3 (Normal Distribution)
The previous two articles introduced two Continuous Distributions: Uniform and Exponential. This article covers the Normal Probability Distribution, also a Continuous distribution, which…
basic 2 min read
Probability Distributions Set 2 (Exponential Distribution)
The previous article covered the basics of Probability Distributions and talked about the Uniform Probability Distribution. This article covers the Exponential…
basic 1 min read
Probability Distributions Set 1 (Uniform Distribution)
1. Discrete Probability Distribution – If the probabilities are defined on a discrete random variable, one which can only take a discrete…
