Homework 4: Problem 11 Previous Problem Problem List Next Problem (1 point) Find k such that x(t) = 5¹ is a solution of the dx differential equation - = kx. dt k = Homework 4: Problem 12 Previous Problem Problem List Next Problem (1 point) Find the solution of the differential equation that satisfies the given initial condition. dy = :5y, y(0) = -3 dx y(x) = Homework 4: Problem 13 Previous Problem Problem List Next Problem (1 point) Find the solution of the differential equation that satisfies the given initial condition. dx 4 - x(0) = 5 dt x(t) = || X "