Question: Task 4: Write a Solver for Kutta's Method (10 Pts) Write a MATLAB function ode Kutta and place it in file odeKutta.m that uses data

 Task 4: Write a Solver for Kutta's Method (10 Pts) Write

Task 4: Write a Solver for Kutta's Method (10 Pts) Write a MATLAB function ode Kutta and place it in file odeKutta.m that uses data from a Kutta data struct to establish the integration.The interface to the function is described below Valid call: yl- ode Kutta(Kutta, f, h, x0, y0) Inputs: Kutta: An instance of the Kutta data struct. f:A function handle to the right-hand side of an ODE, h : x0: W: y1: Your code should throw an error if any of the following are true: e.g, dy/dx f(xy). step size, viz., x 1 = Xo + h. Independent variable at beginning of step. Dependent variable at beginning of step, i.e., the initial condition Dependent variable at end of one step, same dimension as f. Output: Validation: Kutta is not a data struct x0 or h are not numeric scalars . f outputs an array of dimension different from v0 h is not positive Consider testing this against a known solution to verify your implementation, e.g, dy/dx--y, yo-1. No verification code is required to be turned in. This is just good practice. A user-defined function that can be handled by ode_Kutta as variable f must have an interface of: Valid call: dydx- my ODE(x, y) Inputs: x: T he independent variable: a scalar . y: The dependent variable: a column vector, possibly of length 1. dydx: An evaluation of the differential equation dy/dx- f(x, y). This Output: will be a vector with the same length as y. Please attach a matlab code. Thank you Task 4: Write a Solver for Kutta's Method (10 Pts) Write a MATLAB function ode Kutta and place it in file odeKutta.m that uses data from a Kutta data struct to establish the integration.The interface to the function is described below Valid call: yl- ode Kutta(Kutta, f, h, x0, y0) Inputs: Kutta: An instance of the Kutta data struct. f:A function handle to the right-hand side of an ODE, h : x0: W: y1: Your code should throw an error if any of the following are true: e.g, dy/dx f(xy). step size, viz., x 1 = Xo + h. Independent variable at beginning of step. Dependent variable at beginning of step, i.e., the initial condition Dependent variable at end of one step, same dimension as f. Output: Validation: Kutta is not a data struct x0 or h are not numeric scalars . f outputs an array of dimension different from v0 h is not positive Consider testing this against a known solution to verify your implementation, e.g, dy/dx--y, yo-1. No verification code is required to be turned in. This is just good practice. A user-defined function that can be handled by ode_Kutta as variable f must have an interface of: Valid call: dydx- my ODE(x, y) Inputs: x: T he independent variable: a scalar . y: The dependent variable: a column vector, possibly of length 1. dydx: An evaluation of the differential equation dy/dx- f(x, y). This Output: will be a vector with the same length as y. Please attach a matlab code. Thank you

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