A mechanical system model is derived as *(t) + 2x(t) + kx(t) = 108(t) where k represents the coefficient of stiffness. a. Find the response x(t) associated with k = 2 and k = 4. b. Plot the responses associated with k = 2, 4, in the same graph by using the impulse command in Matlab.

Consider the following Initial Value Problem (IVP) dy /at = -t * sin (y); y(t = 0) =1 Solve for y(t=0.5) using a) Forward Euler method with At = 0.25. (Solve by hand) Develop a Matlab script that solves for y (t = 5) using Forward Euler method. Use the time step levels given below and plot t vs y in the same plot. Include the plot with the right format (axis labels, legends, ...) in your solution sheet and include your Matlab script in the solution as well. i) At = 0.25 ii) At = 0.125 b) Backward Euler method with At = 0.25 (Solve by hand)

Solve the following problems using MATLAB. Ensure answers are accurate and well explained so that I may learn how to solve the problems. Dont use AI please. Thank You!

can you please show me how we can determine the freedom degree of systems ? like these in the picure please I want step by step how we determine that !

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Given the trasnfer function G(s) numerator and denominator coefficients for Matlab code should be: O s³+2s+1 2s4+2s²+1' the num= [1 0 2 1] and den=[2 020 1] O num=[1 2 1] and den=[2 0 2 1 1] O num=[1 2 1] and den=[2 2 1] O num=[1 0 2 1] and den=[2 2 0 1]

MATLAB...Hand written plzzzz asap....FAST PLZZZZZZZZZZZ

Required information Use the following transfer functions to find the steady-state response yss() to the given input function f(t). NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. T(-) Y(s) F(s) s(e) 10 b. = 9 sin 2t s²(s+1) ' The steady-state response for the given function is yss() = | sin(2t + 2.0344).

answer completely please