In the circuit of Figure 6.23, switch S has been closed for a long time, and opens at t = 0. Use the Laplace transform method to compute v.(1) for t> 0. %3D R, I= 0 R3 R. 6 K2 30 KΩ 20 K2 C+ 60 KΩ R2 R, 40 72 V 10 ΚΩ

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I am trying to model a simple RC circuit with one resistor and one capacitor using Simulink.  I was given this equation G(jw)=1/(1+jw*tau), tau=RC, and need to convert it to this form in the image: v_dot_o = 1/RC(Vi-Vo). I have also attached a longer image with more detailed steps of how to get to the final equation, but I don't get how a derivative of Vo has appeared out of nowhere somewhere in the middle of the procedure. Please show as many steps as possible and explain the steps if necessary. I'm purely intending to learn from the process, so it'd be really nice if you could explain how each step was done!

pleasee give me a clear solution!

Find the convolution using table method I A) Kn) = 8(n) – 8(n-2), B) h(n) = ()" (u(n) – u(n – 4)

i need the answer quickly

This is a signals and system question don't use Laplace and solve it in an engineering method

2 Farads capacitor has initially 20 Joule energy and the switch is turned ON at t=0. Calculate i(t) for t20 using s-domain. · 8v₁ + 2.12 1202 + V₁ - m of t=0 2-12TON 212 26 1203 1₂(+) = ? t>o

This is a signals and system question don't use Laplace and solve it in an engineering method