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Write a user-defined MATLAB function that uses classical fourth order Runge-Kutta method to solve a first...

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Mechanical Engineering

Write a user-defined MATLAB function that uses classical fourthorder Runge-Kutta method to solve a first order ODE problem dydx =f(x, y) in a given interval a ? x ? b with initial condition y(a) =y0 and step size of h. For function name and arguments, use [x,y] =myrk4(f, a, b, h, y0)

Check your function to find the numerical solution fordydx=?1.2y+7e^(?0.3x) in the interval 0 ? x ? 4 with initialcondition y(0)=3. Run your program three times for h=1.0, 0.1, 0.01and plot all results along with analytical solutiony=(70/9)*e^(?0.3x)?(43/9)*e^(?1.2x) on the same figure.

Answer & Explanation Solved by verified expert
4.5 Ratings (617 Votes)
function XY myrk4fabhy0syms x yX ahbY1 y0for i1sizeX21k1    See Answer
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