zir zsr question

[transgalactic]

when do we use ZSR ZIR

i saw how we solve a first order diff equation
mathematickly
by particular solutions and homogeneous
and suming them


and they didnt use ZIR ZSR at all

why?

when do we use ZIR ZSR?

 

[pedroromanvr]

Well, maybe you don't notice that, but when you solve the differential equation, you are using the initial conditions to reach a final state, so ZIR and ZSR are used there.