Some basic questions about differential equations ?

[rosekidcute]

I am trying to learn this subject after i make a list of things to follow ...

Is there any more types of differential equations ?

 

[HallsofIvy]

There are many other "types" of differential equations. There are "linear" and "non-linear" equations (the one you show is linear). Among linear equations we may have "constant coefficients" or "non-constant coefficients (i.e. the coefficients are functions of the independent variable). There are special types of equations with non-constant coefficients, "Bessel equations" or "Hankel equations".

 

[rosekidcute]

Thanks a lot for the reply HallsofIvy ,

Some of the types you mentioned seems like very advanced ones .

I am only after some beginner level type simple differential equations , so that i can learn from examples .

Online materials on differential equations seems to be a bit low

Can you suggest any texts or websites for understanding differential equations ?

 

[HallsofIvy]

Thanks a lot for the reply HallsofIvy ,

Some of the types you mentioned seems like very advanced ones .

I am only after some beginner level type simple differential equations , so that i can learn from examples .

Online materials on differential equations seems to be a bit low

Can you suggest any texts or websites for understanding differential equations ?

You can start with M.I.T.'s "open courseware":
https://ocw.mit.edu/courses/mathematics/18-03sc-differential-equations-fall-2011/

 

[rosekidcute]

Thanks ,

A bit advanced but i will still try :cool:

 

[rosekidcute]

This is nice too ,

Separation of variables is a technique commonly used to solve first-order ordinary differential equations. It is so-called because we rearrange the equation to be solved such that all terms involving the dependent variable appear on one side of the equation, and all terms involving the independent variable appear on the other. Integration completes the solution. Not all first-order equations can be rearranged in this way so this technique is not always appropriate. Further, it is not always possible to perform the integration even if the variables are separable. In this Section you will learn how to decide whether the method is appropriate, and how to apply it in such cases

http://www.personal.soton.ac.uk/jav/soton/HELM/workbooks/workbook_19/19_2_first_order_odes.pdf