Question Five:- (1) The number of supermarkets C(t) throughout the country that are using a computerized checkout system is described by the initial-value problem population P(t) at any time in a suburb of the UAE is governed by the initial-value problem =C(1-0.0005C), C(0) = 1, How many supermarkets are using the computerized method when t = companies to adopt the new procedure over a long period of time? (2) The differential equation dC dt X d'y dx² 1+ dy 2 19 10?. How many (3)
arises in the study of the shape of the path that a pursuer, travelling at a speed U2, must take in order to intercept a prey travelling at speed v₁. Use the substituting (p = dy/dx) and the initial-value problems y(0) = 0 and y' (1) = 0 to solve Eq. (3). Consider the two cases: v₁ = V₂ and v₁ ‡ v2. (3) Given that y = c₁ cos Ax+c₂ sin Ar is a family of solutions of y"+X²y = 0. Determine the values of parameter A for which the boundary-value problem y" + +1²y = 0, y(0) = 0. y(n) = 0, has nonzero solution.
Question Five:- (1) The number of supermarkets C(t) throughout the country that are using a computerized checkout system
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