A new fast-food firm predicts that the number of franchises for Its products will grow at the rate dn 6Vt+1 dt where t is the number of years, 0 s t s 15. Find n(t). (Use C for the constant of Integration.) 6VE+1 12 1+1 n(t) = dt = + C There is one franchise (n = 1) at present (t= 0). Find n(t) for this initial condition. 12 t+1 n(t) = 3 3 If there is one franchise at present, how many franchises ar predicted for 3 years from now? 29 franchises eole

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.