+251 
a. Derive an ODE (in standard form) for the current at the voltage source.
B. Solve the ODE from question 1, given \({V}_{s}(t) = 12t\)
+251 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!!
