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if we assume the condition immediately after switch is closed (t=0+),

*Capacitor voltage cannot jump.

*Inductor current cannot jump.

dv(0+)/dt=i_c(0+)/c

di(0+)/dt=v_l(0+)/L

which means we can find the initial condition of the post-zero system algebraically.

However, it contradcits to the definition of differentiability since the pre-zero value and post-zero value

of the system are different. (I_c(0+)=/=i_c(0-), v_l(0+)=/=v_l(0-))

I wonder how we can justify the math of the system.

Can I think this as two diffrent systems (ODEs) with one condition shared?

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# 2nd order ODE circuit, switch question

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