Considerando el problema de valores iniciales:dy/dx = y sin(c)y(0) = -1Completa la tabla con los valores obtenidos por el método de Runge-Kutta de segundo orden usando h = 0.1 y @2 = 0.4.-1.10001

Code a 2nd-order Runge-Kutta method; class. Make a new subclass RungeKutta2 in the ODESolver hierarchy from Chapter 9.4 for solving ordinary differential equations with the 2 ndorder Runge-Kutta method specified in formula (9.25). Construct a test problem where you know the analytical solution, and plot the difference between the numerical and analytical solution. Store the RungeKutta2 class and the test problem in a file where the base class ODESolver is imported from the ODESolver module. Name

b/ Find the value of y(0.2) by 4th  order Runge-Kutta method wh... | Filo

1.15 points Consider the 3rd-order Runge-Kutta algorithm below:... | Filo

SOLVED:Using the vectorized Runge-Kutta algorithm, approximate the solution to the initial value problem y^n=t^2 y^2 ; y(0)=1, y^'(0)=0 at t=1 1. Starting with h=1, continue halving the step size until two successive approximations [of both y(1) and y^'(1)] differ by at most 0.01.

SOLVED:(a) Use a numerical integration algorithm such as a Runge-Kutta method to compute the density profile for the n=1.5 and n=3 polytropes. Be sure to correctly incorporate the boundary conditions in your integrations. (b) Plot your results and compare them with the n=0, n=1, and n=5 analytic models determined in Problem 20.