Q4) The decay of a radioactive substance can be written as: [12 marks] dtdN=N where N is the number of radioactive atoms, t is time, and is the decay constant. Given that the initial number of atoms at t=0 is 1000 atoms and that =0.01s1 : a) Find the number of atoms after 10 seconds using the Euler's method with a step size of 5s. [ [3] b) Find the number of atoms after 10 seconds using the fourth order Runge Kutta method with a step size of 10s. I [5] c) Write all MATLAB commands necessary to solve the problem using the builtin function ode45. [ /3] d) Can Euler's method also be classified as Runge-Kutta method? How? [ 11]