Consider a second-order ODE representing a forced vibrating system: + 8y +2y=k cos(x) y(0) =...

 

Transcribed Image Text:

Consider a second-order ODE representing a forced vibrating system: ÿ + 8y +2y=k cos(x) y(0) = 0, y(0) = 1 a. Use MATLAB in order to obtain the analytical solution y(t) for the above differential equation (obtain solution in terms of variable k, and must be displayed in decimal format). b. Consider the solution y(t) for the above ODE, as obtained in Part (a). On a single graph, plot the solution y(t), for two different values of the variable 'k': k = 3 and k = 15. Use a time range 1 of 0 <1<10 seconds, and include a legend in the plot. Consider a second-order ODE representing a forced vibrating system: ÿ + 8y +2y=k cos(x) y(0) = 0, y(0) = 1 a. Use MATLAB in order to obtain the analytical solution y(t) for the above differential equation (obtain solution in terms of variable k, and must be displayed in decimal format). b. Consider the solution y(t) for the above ODE, as obtained in Part (a). On a single graph, plot the solution y(t), for two different values of the variable 'k': k = 3 and k = 15. Use a time range 1 of 0 <1<10 seconds, and include a legend in the plot.

Answer rating: 100% (QA)

Heres how you can solve it in MATLAB syms yt k Dy diffy t D2y diffy t 2 ode D2y 8Dy 2y kcost ... View the full answer