Using Differential Equation and Matlab?

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1.) Write an input-output equation thatrepresents this system, its a 2nd order low pass filter. The answershould be a 2nd order differential equation. The final equationshould have Vin and Vout (but no V1 or i) in it.

2.) Solve the 2nd order differential equation usingMatlab, getting an equation for Vout.

3.) Calculate the theoretical time constant,τ.
Thank you so much for your time, I will ratelifesaver!!!

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