I needed help with the following question in MATLAB. if someone can help me built the code for this that would be great. I am in mechanical engineering and my programming skills r not upto the mark to get solution in MATLAB. Please Help.
Consider an electric circuit described by the third order ODE
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x +3.90x¨−x(xÿ )^2+(x^3) −0.26 = 0,
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x= d3x/dt3,
x¨ = d^2x/dt^2 and xÿ = dx/dt (the dimensionless parameter x is proportional to voltage, and both voltage and time
have been made dimensionless here).
From the initial conditions, x(0) = 3.3, xÿ (0) = 0.9, and x¨(0) = 0, plot the first 1000 steps, in the coordinates
(x, xÿ ), taking steps of h = 0.10 in RK4 method. Plot the coordinates after each step as discrete points, not as a line
or curve — the resulting plot is called a Poincar´e plot.