## Saturday, 8 June 2013

### DIFFERENTIAL EQUATIONS

DIFFERENTIAL EQUATIONS: SIGNIFICANCE AND APPLICATIONS FINALLY EXPLAINED.

|||| Differential equations are quite simple
dy/dx ----------means rate of change w.r.t x
(d^2)y/(d^2)y----------means rate of change of (rate of change w.r.t x)

|||| Or in other words
(d^2)y/(d^2)x---------means rate of change of dy/dx itself

Similarly,
||||(d^3)y/(d^3)y----------means rate of change of (rate of change of (rate of change of y w.r.t x)

In other words
||||(d^3)y/(d^3)x---------means rate of change of (d^2)y/(d^2)x itself.

EXAMPLE

||||Imagine a car moving covering a distance 'y' in time 'x'.

||||Its speed will be dy/dx.
Now consider two cases
CASE 1] The car is moving with constant velocity
CASE 2] The car is moving with variable velocity.

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THE ABOVE IS A EXCERPT FROM A BOOK AVAILABLE FOR PURCHASE (5\$) AT THE FOLLOWING LINK

AVAILABLE FOR PURCHASE FOR 5\$ (INR 300) HERE (PDF)

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I hardly understood Math in school. In fact was on the verge of dropping the subject I loved the most because as much as I loved the theory of it, I could not understand the math involved in it. However I loved the subject too much to be able to live without. Hopelessly, I was continuing my love-affair with it.

Then one day....a miracle happened,....while applying a certain formula again and again.....I came to know its significance. Slowly and steadily....other equations also started clicking. I got to see a strong relationship between Maths and the Physics it was pointing towards. They both were the same. Maths was just an easy language to express a physical phenomenon. And a bit more to that in the sense that it could even predict the behaviour of a certain physical phenomenon. Equations now as if came to life.

Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.
The book on visualizing maths thus got written as a sprout of inspiration. The blog followed. Both these are dedicated to you and all such similar minds searching for answers.

Visualizing Math & Physics is a blog dedicated to you and all such similar minds searching for answers.

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CONTACT
binnoypanicker@gmail.com

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1. Hi , thanks for pointing out. Will try to fix it soon.
Strongly believe in the saying that one image speaks for a thousand words.

Binnoy

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1. I did it myself. Not used any codes. In blogger tempelates, there is an option to choose your own background image from computer.
Font colors can also be changed as per will there.
Hope this helps.
Binnoy