Find the logistic equation that satisfies the initial condition. dy 11y y² (0, 44) dt 20 1440 Use the logistic equation to find y when t = 5 and t = 100. Step 1 Rewrite the logistic differential equation Hence, Thus, Step 2 Thus, = dy - 21 (1- dt 20 k= y = 11 20 792✔✔ 792✔ 1 + be 11 (-11✔ y dy dt 792 792 = 11y 20 and L= $$792 ✔ 11 /20)t Substitute the values of k and the carrying capacity L, in the general solution of the logistic differential equation. That is, y = 1440 in the general form of logistic differential equation with initial condition y(0) = 44. 792 . dr = kr(1-2). 1 + be-kt¹ to obtain the logistic equation.