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Unformatted text preview: Suppose the ambient temperature is 70 degrees Fahrenheit and that the rate constant is 0.05 (min)1. Write a differential equation for the temperature of the object at any time. 5) Consider an electric circuit containing a capacitor, resistor, and battery. The charge Q(t) satisfies the equation V C Q dt dQ R = + , R=resistance, C=capacitance, V= voltage const. If Q(0) = 0, find Q(t) at any time t. Solve for y : 6) ty + 2y = sint 7) y y = 2te 2t y(0)=1 8) ty + (t + 1)y = t y(ln2) = 1 t > 0...
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 Spring '08
 Fonken

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