Solving First Order and First Degree Differential Equations Author: Bindeshwar Singh Kushwaha Institute: PostNetwork Academy Reducing to Homogeneous Form Consider the differential equation of the form: $$\frac{dy}{dx} = \frac{a x + b y + c}{a’ x + b’ y + c’}$$ To reduce it to homogeneous form, use the substitution: $$x = X + h, […]
Solving First Order and First Degree Differential Equations Read More »
Addition, Multiplication Theorem of Expectation and Covariance Data Science and A.I. Lecture Series By Bindeshwar Singh Kushwaha PostNetwork Academy Outline Introduction Addition Theorem of Expectation Proof of Addition Theorem Multiplication Theorem of Expectation Proof of Multiplication Theorem Covariance Introduction Expectation (or expected value) is a fundamental concept in probability and statistics. It provides a measure
Addition, Multiplication Theorem of Expectation and Covariance Read More »
Definition of Differential Equations A differential equation is an equation that involves one or more derivatives of an unknown function. Example: \[ \frac{dy}{dx} = 3x^2 \] Types of Differential Equations Ordinary Differential Equations (ODEs): \( \frac{dy}{dx} + 2y = x^2 \) Partial Differential Equations (PDEs): \( \frac{\partial u}{\partial x} + \frac{\partial u}{\partial y} = 0
Differential Equations Read More »