In some populations, the amount of births is directly proportional to the population at any given point in time and the amount of deaths is directly proportional to the square of the population at any given point in time. 1. Write an equation that models the change in a population that fits the above description. Make sure t ...continues
Consider the differnetial equation y'(x) + xy(x) = 0 with y(0) = 0 Look for a solution of this problem of the form y(x) = A + B + Ce^-x + De^-1/2x^2 Use the fact that y must satisfy the equation and the initial conditions to indentify the constants A,B,C and D. By setting u = -x^2/2 in the power series for f(u) = exp{ ...continues
A skydiver, weighing 70kg, jumps from an aeroplane at an altitude of 700 metres and falls for (T) seconds before pulling the rip cord of his parachute. A landing is said to gentle if the velocity on impact is no more than the impact velocity of an object dropped from a height of 6 metres. The distance that the skydiver falls d ...continues
I have done most of the calculations but require confirmation.
I am looking for some assistance in using Mathematica. Attached is the question, part (i) is completed but I am unable to resolve part (ii). Can anyone assist.
Lorenz Equations and Equilibrium
Please see attached MS word document.
Past Exam paper - Mathematical Modelling
It would be of great help to me if someone could provide the soulutions and workings to the attatched past paper.
Past exam, question B6 - Mathematical Modelling
I would be grateful if someone could give me the solutions and workings for Q B6 of the attatched paper.
I would like the soulution and workings for Question A5 of the attatched past exam paper for my revision.
