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 4
th Order Runge-Kutta Method with a step size of 0.3 to find the solution at t=0.6,
where y(0) = 1

Answer 1

Answer:

Step-by-step explanation:

Question: The most common use of differential equations in science is to model dynamical systems, i.e. systems that change in time

 

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.