When we are solving for impulse response, I have seen many people use initial conditions at rest ($y(0)=0$ for first order).
What is the meaning behind this?
Thank you.
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this means that at the initial moment of time $t=0$ the value of the function we are looking for is set to zero – aid78 Jan 02 '18 at 09:23
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Why we have to do that? Why is it needed to be zero? – pakornosky Jan 02 '18 at 09:26
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there are not unique solution of differential equation and we should choose one of them for example such solution which y(0)=0. You can choose other solution y(2018)=100500 but it is not more better. – aid78 Jan 02 '18 at 09:36
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Let me rephase my question. Initial condition has nothing to deal with impulse response, what is the physical meaning of this? Sorry, if it is ambiguous. I am trying to find more proper words. – pakornosky Jan 02 '18 at 09:41