Any body explain me how inductor and capacitor behave in transient analysis when t=0,t>0. And why? Means how capacitor and inductor open circuit and short short circuit and when?

 

What does all that shorthand mean?

 

Maybe you can try read this
http://www.elsevierdirect.com/samplechapters/9780750679701/9780750679701.PDF ( from page 22 "Understanding the Inductor" )

 

Capacitors are open circuits to DC, and short circuits to high frequencies.
Inductors are open circuits to high frequencies, and short circuits to DC.

The voltage across a capacitor cannot change instantly, and the current through an inductor cannot change instantly.

A capacitor is governed by the differential equation
I = C (dV/dt)

An inductor is governed by the differential equation
V = L (dI/dt)

 

In this case DC means "after a long time".
Suddenly connecting a DC source (like a battery) is not true mathematical DC. After a "long time" it's DC, when it's entirely constant. That's when the capacitors are fully charged (open circuit, no more current) and the inductors carry the maximum current they can (short circuit, no more voltage).