Problem 8. (15 points) Use separation of variables to solve dy 3 dt 4ty ty y(1) = -1. At the first step, the solution is given by f(y)=g(t)+C, where f(y) and g(t) do not contain any constant terms and f has a leading coefficient 1/2. Enter these functions, the constant C for which the initial condition is satisfied, and the solution. f(y)= g (1)= C= y(1 ) = Answer(s) submitted: . (incorrect) Correct Answers: . 0.5*y* 2 . 0. 75* In (4*t+1) . -0. 707078434325575 -sqrt (1 . 5*In ((4*t+1) /5) +1)