hi
for solving equations you can use ode or dsolve commands in matlab & use plot & ezplot for plotting
This is a good practical question.
A good paper on solving and plotting second order nonlinear differential equations is
H.N. Hassan, M.A. El-Tawil, A new technique of using homotopy analysis method for second order nonlinear differential equations, Applied Math. and Computation 219, 2012, 708-728:
http://www.academia.edu/4385978/A_new_technique_of_using_homotopy_analysis_method_for_second_order_nonlinear_differential_equations
The authors of the paper appear to be using Matlab for the plots but do not give their Matlab scripts in the paper. For related papers and suggestions, see
Professor Hany N. Hassan:
https://www.researchgate.net/profile/Hany_Hassan3
hi
Using the code from Chris Taylor's answer as below:
k = 1;
f = @(t,x) [x(2); -k * x(2) - x(1)^3 + 9.8 * cos(t)];
tspan = [0, 10];
xinit = [0, 0];
[t, y] = ode45(f, tspan, xinit);
gives you the values x and y as functions of t from 0 to 10, stored in the first and second columns of y respectively. Therefore you can plot y(x) by simply calling
plot(y(:,2),y(:,1));
hi
for solving equations you can use ode or dsolve commands in matlab & use plot & ezplot for plotting
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