intermediate differential equations

Work Sheet Assignment 7: Consider the electric circuit in Example 7.25 of our lecture notes (405Lec10.pdf) with general real constants R > 0, L > 0, C > 0. Do the following for all parameters R, L,C> 0 (constants) and show all basic computational steps in large detail: (a) Compute the characteristic polynomial p(r) = det(A - rl) in terms of those general parameters R, L, C > 0. (b) Compute all roots r of p(r) = 0 for all R, L, C >0 and show that we have here complex roots iff L 0, we have lim 1() = lim V = 0. Work Sheet Assignment 7: Consider the electric circuit in Example 7.25 of our lecture notes (405Lec10.pdf) with general real constants R > 0, L > 0, C > 0. Do the following for all parameters R, L,C> 0 (constants) and show all basic computational steps in large detail: (a) Compute the characteristic polynomial p(r) = det(A - rl) in terms of those general parameters R, L, C > 0. (b) Compute all roots r of p(r) = 0 for all R, L, C >0 and show that we have here complex roots iff L 0, we have lim 1() = lim V = 0