I just couldn't grasp the idea what are differentials,intuition behind them,applications of differentials? can anyone thoroughly tell me about it please? and why sometimes dy/dx is taken as a fraction???
Did you view the topics in the links that UltrafastPED provided? If so, do you have specific questions about them?
can anyone explain it kindly?
Your question is too broad. Our purpose here is not to spoon-feed you everything there is to know about differentials. If you have some specific questions about what you've read, please ask them. Otherwise, it's your responsibility to do some research on your own, either on the internet or in some calculus textbooks.
Are differentials the same as derivatives?
Thanks, why do we integrate on differential equations then?