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Mystery initial conditions. A system has a transfer function H(s) = 1. find 1. the output when the input is x(i) = 30u(t). 2. the output when the input is x(t) = 30u(t) with initial condition y(0) = 15 3. What initial conditions, if any, would produce an output y(0) = (1) - 2e full) when the input is x(i) = u(i)? 4. What initial conditions, if any, would produce an output y(t) = 3u(1) - cult) when the input is x) = ()? Mystery initial conditions. A system has a transfer function H(s) = 1. find 1. the output when the input is x(i) = 30u(t). 2. the output when the input is x(t) = 30u(t) with initial condition y(0) = 15 3. What initial conditions, if any, would produce an output y(0) = (1) - 2e full) when the input is x(i) = u(i)? 4. What initial conditions, if any, would produce an output y(t) = 3u(1) - cult) when the input is x) = ()