Table of Contents

## What is First Order Differential Equation

A first order differential equation is an equation that contains a single derivative. The equation can be solved to find the particular solution, which is the specific solution to the equation that satisfies the initial conditions.

## What is the General Solution of 1st Order Differential Equation

There is no general solution to first order differential equations. Each equation must be solved separately.

## What is First-Order Differential Equation

A first-order differential equation is an equation that contains a derivative of a single variable.

## What is First Order Linear Differential Equation

A differential equation is an equation that relates a function and one or more of its derivatives. First order linear differential equations are a special type of differential equation in which the equation is linear, meaning that the derivatives are proportional to the function, and the equation is first order, meaning that the highest derivative appearing in the equation is one.

## How to Solve 1st Order Differential Equations?

There are many ways to solve 1st order differential equations. Some common methods are substitution, separation of variables, and integrating factors.

## Method of Variation used to solve first order differential equations

The method of variation is used to solve first order differential equations. The method of variation uses the fact that the derivative of a function is equal to the slope of the tangent line to the function at a given point. The method of variation uses this fact to find a particular solution to a differential equation.