# Differential Equations

## Solution of Linear Differential Equation

Here you will learn how to find solution of linear differential equation of first order first degree with examples. Let’s begin – Solution of Linear Differential Equation (1) Linear Differential Equation of the form $$dy\over dx$$ + Py = Q A differential equation is linear if the dependent variable (y) and its derivative appear only …

## Solution of Homogeneous Differential Equation

Here you will learn how to find solution of homogeneous differential equation of first order first degree with examples. Let’s begin – Solution of Homogeneous Differential Equation If a first degree first order differential equation is expressible in the form $$dy\over dx$$ = $$f(x, y)\over g(x, y)$$ where f(x, y) and g(x, y) are homogeneous …

## Differential Equations in Variable Separable Form

Here you will learn how to find the solution of the differential equations in variable separable form with examples. Let’s begin – Differential Equations in Variable Separable Form If the differential equation can be put in the form f(x) dx = g(y) dy, we say that the variables are seperable and such equations can be …

## Differential Equations Reducible to Variable Separable Form

Here you will learn how to find the solution of the differential equations reducible to variable separable form with examples. Let’s begin – Differential Equations Reducible to Variable Separable Form Differential Equations of the form $$dy\over dx$$ = f(ax + by + c) can be reduce to variable separable form by the substitution ax + …

## Differential Equations of Form dy/dx = f(x) or f(y)

Here you will learn how to find the general solution of differential equations of form dy/dx = f(x) or f(y) with examples. Let’s begin – Differential Equations of Form dy/dx = f(x) or f(y) (1) Differential Equations of Form dy/dx = f(x) To solve this type of differential equations we integrate both sides to obtain …

## First Order First Degree Differential Equations

Here you will learn general form of first order first degree differential equations and methods of solving first order first degree. Let’s begin – General Form of First Order First Degree Differential Equations A differential equation of first order and first degree involves the independent variable x, dependent variable y, and $$dy\over dx$$. So, it …

## Solution of Differential Equation

Here you will learn how to find solution of differential equation i.e. general solution and particular solution with examples. Let’s begin – Solution of Differential Equation The solution of differential equation is a relation between the variables involved which satisfies the differential equation. for example, y = $$e^x$$ is a solution of the differential equations …

## Formation of Differential Equation

Here you will learn formation of differential equation with examples. Let’s begin – Formation of Differential Equation Algorithm 1). Write the equation involving independent variable x (say), dependent variable y (say) and the arbitrary constants. 2). Obtain the number of arbitrary constants in Step 1. Let there be n arbitrary constants. 3). Differentiate the relation …

## Degree and Order of Differential Equation

Here you will learn what is differential equation and degree and order of differential equation with examples. Let’s begin – Differential Equation An equation containing an independent variable, dependent variable and differential coefficients of dependent variable with respect to independent variable is called a differential equation. for example : $$dy\over dx$$ = 2xy and \(d^2y\over …