Question: Create a matlab code solving the following equation using Euler, improved Euler and Runge-Kutta. Given the differential equation dy/dx = x^2 - 0.5 xy and

Create a matlab code solving the following equation using Euler, improved

Create a matlab code solving the following equation using Euler, improved Euler and Runge-Kutta. Given the differential equation dy/dx = x^2 - 0.5 xy and initial condition y(1.5) = 2.2, approximate the value of y(2.5) using step size h = 0.05 Your solution must be able to carry out Euler's Method, Improved Euler's Method, and Runge-Kutta (you may implement these as three separate spreadsheets or programs if you wish)

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