1. Use Laplace transforms to solve the following differential equations for ?(?) for ? ≥ 0....

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Mechanical Engineering

1. Use Laplace transforms to solve the following differentialequations for ?(?) for ? ≥ 0. Use ?(0) = 0 and ?̇(0) = 1 for eachcase.

i. 0 = ?̈(?) + 2?̇(?) + 4?(?)

ii. 0 = ?̈(?) + 3?̇(?) + 2?(?)

iii. 5 = ?̈(?) + 5?̇(?) + 6?(?)

3. For the three differential equations from problem onedetermine the steady-state value of the system using:

a. lim?→0 ??(?),

b. lim ?→∞ ?(?) analytically,

c. lim ?→∞ ?(?) using MATLAB

Please solve #3 and show MATLAB code

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4.5 Ratings (749 Votes)
iclearclct 0 10y0 0 1ty ode45myfunty0plotty1xlabelTime sylabelytfprintfThe steadystate value is    See Answer
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