Is there a way to use MATLAB code to solve (1) from (2) using the Runge-Kutta Me

Question

Is there a way to use MATLAB code to solve (1) from (2) using the Runge-Kutta Method (RK-4)? If there is, please show how to do this.

2) Suppose we wish to solve the second-order ODE initial value proble IVP) dt2 y(0) = Q y, (0) = . where p(t), q(t), r(t), , and are known. A common technique is to convert the ODE in (1) to a system of two first-order ODEs and then to use a technique for first-order ODE IVPs (like RK-4) to solve the original second-order ODE IVP (1). We proceed thus. Let v- , thus obtaining dv + p(t)o +g(t)y= r(t). Thus our resulting first-order IVP is dt dy y(0) = (0) = .

Explanation / Answer

t = 0:pi/10:2*pi; [X,Y,Z] = cylinder(4*cos(t)); subplot(2,2,1); mesh(X); title('X'); subplot(2,2,2); mesh(Y); title('Y'); subplot(2,2,3); mesh(Z); title('Z'); subplot(2,2,4); mesh(X,Y,Z); title('X,Y,Z');

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