Problem 3 Given the following first-order linear differential equation: du 32 dt V a) Write the given first-order LDE in standard form. b) Solve for the general solution of your answer in part (a) using method of solution for first-order linear differential equations. Express your answer in explicit form. c) Solve for the particular solution of your result in part (b) assuming zero initial conditions, i.e., v(0) = 0. d) Solve for f if the final value of your answer in part (c) is equal to 128, i.e., lim v(t) = t-+00 128