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

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

i. 0 = ?̈(?) + 2?̇(?) + 4?(?)

ii. 0 = ?̈(?) + 3?̇(?) + 2?(?)

iii. 5 = ?̈(?) + 5?̇(?) + 6?(?)

3. For the three differential equations from problem one determine 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

Needs help with similar assignment?

We are available 24x7 to deliver the best services and assignment ready within 6-8 hours? Order a custom-written, plagiarism-free paper

Get Answer Over WhatsApp Order Paper Now