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Find the equation for the current versus time t in a series circuit with inductance L = 0.1 H, resistance R = 8Ohm, and voltage V = 12V. The initial current i(0) = 2 A = (0.5 - 1.5)A = (2.0 - 1.5)A = (0.5 + 1.5)A = (2.0 + 1.5)A Find the general solution of the differential equation y'' + 5y' + 6y = 0 y(x) = C1 + C2 y(x) = C1 + C2 y(x) = C1 + C2 y(x) = C1 + C2 A series electric circuit has an inductance L = 0.5H, resistance R = 1000 Ohm, capacitance C = 1.0 Times 10-6 F, and the source voltage V = 12V. Find the equation for the current versus time t. = [C1 sin(1000t) + C2 cos(1000t)] = [C1 sin(1000t) + C2 cos(1000t)] = [C1 sin(1000t) + C2 cos(1000t)] + 0.000012 = [C1 sin(1000t) + C2 cos(1000t)] + 0.000012 Using a table of Laplace transforms, find the Laplace transform of function f(t) = . 1/(s - 3)2 1/(s + 3)2 s2/s - 3 s/(s + 3)2 Find the particular solution of the differential equation y" + y' = e2 1/6e-2t 1/6e2t -1/6e-2t -1/6e2t.

Show transcribed image text Find the equation for the current versus time t in a series circuit with inductance L = 0.1 H, resistance R = 8Ohm, and voltage V = 12V. The initial current i(0) = 2 A = (0.5 - 1.5)A = (2.0 - 1.5)A = (0.5 + 1.5)A = (2.0 + 1.5)A Find the general solution of the differential equation y'' + 5y' + 6y = 0 y(x) = C1 + C2 y(x) = C1 + C2 y(x) = C1 + C2 y(x) = C1 + C2 A series electric circuit has an inductance L = 0.5H, resistance R = 1000 Ohm, capacitance C = 1.0 Times 10-6 F, and the source voltage V = 12V. Find the equation for the current versus time t. = [C1 sin(1000t) + C2 cos(1000t)] = [C1 sin(1000t) + C2 cos(1000t)] = [C1 sin(1000t) + C2 cos(1000t)] + 0.000012 = [C1 sin(1000t) + C2 cos(1000t)] + 0.000012 Using a table of Laplace transforms, find the Laplace transform of function f(t) = . 1/(s - 3)2 1/(s + 3)2 s2/s - 3 s/(s + 3)2 Find the particular solution of the differential equation y" + y' = e2 1/6e-2t 1/6e2t -1/6e-2t -1/6e2t.