Question: The most common use of differential equations in science is to model dynamical systems, i. e. systems that change in time according to some fixed rule. For such a system, the independent variable is t (for time) instead of x. For the following such ODE;
/ = (3 + 2)√
(i) Apply Euler Method with a step size of 0.05 to find the solution at t=0.6, where y(0) = 1.
(ii) Apply 4th Order Runge-Kutta Method with a step size of 0.3 to find the solution at t=0.6, where y(0) = 1.