Differential Equations Notes

  In this post, we define Solution of a Differential Equation, General Solutions,  Particular Solution, Equations with Separable Variables and also Linear Equations.   Solution of a Differential Equation   It is a  relation between variables not involving differential coefficients such that this relation and the derivatives obtained from it satisfy the given differential equation.   General Solutions:    A solution of a differential equation called general solution which contains arbitrary constants as many as the order of the differential equation.   Particular Solution    A solution obtained by giving particular values to the arbitrary constants in the general solution is called particular solution.   Equations with Separable Variables    If we put the differential equation in the form f(x) dx +¢(y) dy =0, then it is called  variable separable. Now It is very easy to get the solution of it by integrating it and adding one constant on any side.  f(x) dx +¢(y) dy =0 ∫f(x) dx +∫¢(y) dy =constant    Linear Equations:    A differential equation of the form  dy/dx +Py=Q Where P and Q are functions of x but not y is called linear differential equation of first order. In the same way, A differential equation of the form dx/dy +Py=Q Where P and Q are functions of y but not x is called linear differential equation…

Solutions of examples. In this post we will provide the solution of two examples i.e order and degree of differential equations given below                                               Taking square on both sides                                                               Taking square on both sides   Now open cube then we get order =     01 degree =  06     Do you read the related definitions of Differential Equations.then Click Here      

In this post we define Order and Degree of differential equation and also related examples and method to find the order and degree.   Order of differential equation The order of differential equation is the order of the highest derivative appearing in the equation. Degree of differential equation The degree of the differential equation is the greatest exponent of the highest order derivative that appears in the equation. Find Order and Degree of following differential equation                        Solution of  Order and Degree of following differential equation order 01, degree 01 order 01, degree 01 order 01, degree 01 order 02, degree 01 order 02, degree 02     see solution order 01, degree 06     see solution order 02, degree 01 order 01, degree 01 order 01, degree 01 order 02, degree 01 

In the post, we define Partial differential Equations and also provide related examples so that the learners van understand the concept easily. Partial differential Equations A differential equation involving partial derivatives of the dependent variables with respect to more than one independent variable  is called ordinary differential equations. Examples: Read related topics. Click here  

In the post, we define Ordinary differential Equations and also provide related examples so that the learners van understand the concept easily. Ordinary differential Equations A differential equation in which ordinary derivatives of the dependent variables with respect to only one independent variable occur is called ordinary differential equations. Examples:                 Read related topics. Click here

In this post we define differential, ordinary equations and partial differential equations. Some examples of above topics are also provided. Partial Differential Equations A differential equation is an equation involving one dependent variable and its derivatives with respect to one or more independent variables. Examples: