a. Derive an ODE (in standard form) for the current at the voltage source.


B. Solve the ODE from question 1, given \({V}_{s}(t) = 12t\)

vest4R  Mar 19, 2018

I'm confident i've got the correct ODE. (part a)


\(\frac{di}{dt} + \frac{1}{RC}i = \frac{d{V}_{s}}{dt}\frac{1}{R}\)


I come unstuck with part b

I'm not sure how to solve it with a \({V}_{s}(t) = 12t\)

If I use the non homogeneous methord to solve it,

I get a \({y}_{H} = i(t) ={C}_{1}{e}^{-\frac{1}{RC}t}\)

and then I don't know what my guess is for the RHS = \(\frac{d{V}_{s}}{dt}\frac{1}{R}\)


have I got the incorrect ODE in the first place?

any help is greatly appreciated!!

vest4R  Mar 19, 2018

came up with another go for it...no idea if it's correct.

vest4R  Mar 19, 2018

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