A. Consider the First Order Linear Differential Equation in Standard Form dy / dt + p(t) y = g(t), where both functions p(t) and g(t) are continuous on an open interval I. Suppose you want to solve...

A. Consider the First Order Linear Differential Equation in Standard Form

dy / dt + p(t) y = g(t),

where both functions p(t) and g(t) are continuous on an open interval I. Suppose you want to solve such an equation using the Method of Integrating Factors. Which of the functions below would be an integrating factor? Circle your answer!

(i) µ(t) = exp integral − p(t) dt

(ii) µ(t) = exp integral − g(t) dt

(iii) µ(t) = exp integral p(t) dt

(iii) µ(t) = exp integeral g(t) dt.

B. Use the Method of Integrating Factors to solve the following equation, y' + 3/t y = ln(t) / t^4 , t > 0.