Note: In all questions the parameter k must be replaced by 4 (d)The secretion of hormones into the blood is often a periodic activity. If a hormone is secretedon a 24h cycle, then the rate of change of the level of the hormone in the blood may be represented bythe initial value problemdydt= a - bcos (12) - ky, y(0) = kwhere y(t) is the amount of the hormone in the blood at time t, a is the average secretion rate, b is theamount of variation in the secretion, and k is a positive constant reflecting the rate at which the bodyremoves the hormone from the blood. Find the solution of the above initial value problem.

Given, a first-order linear ordinary differential equation: .It is required to solve the linear…

(d) The secretion of hormones into the blood is often a periodic activity. If a hormone is secreted on a 24h cycle, then the rate of change of the level of the hormone in the blood may be represented by the initial value problem dy - bcos dt (1) -ky, y(0) = k where y(t) is the amount of the hormone in the blood at time t, a is the average secretion rate, b is the amount of variation in the secretion, and k is a positive constant reflecting the rate at which the body removes the hormone from the blood. Find the solution of the above initial value problem.