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dy 07:; _ y}; (13; = E such that f(1) = 2. (3) Find the general solution of % = 15%. Check for yourself if you got the correct family by plotting a sample solution together with a slepe eld. (4) Find the general solution of the logistic differential equation: (1) Find the general solution of (2) Find the solution y = f (t) of Using slope eld analysis (and possibly a computer generated slope eld) explain why you are condent that your family of solutions is correct? (5) A discharged capacitor C = 2700F is connected in a series with the resistor R = 19. (a) Find the general formula for the voltage drop Vmp = f (11) across the capacitor if the circuit is connected at time t = 0 to a battery supplying voltage 1/33,; = 2.7V. (b) How long does it take for the voltage accross the capacitor to reach 1.45V? The differential equation governing the voltage dr0p on the capacitor in this circuit is