Inverse Laplace Transform

please see attachment

Inverse laplace transform

please see attachment

Inverse laplace transform

please see attachment

Inverse Laplace transform

please see attachment

Inverse Laplace transform

Please see attachment

Solve for y in terms of t

(d^2 * y)/(d * t^2) + 6 * (dy/dt) + 9y = 0 y(0) = 10, y'(0) = 0

Solve for y in terms of t

(d^2 *y)/(d*t^2) + 3*(dy/dt) + 2y = 24* exp(-4*t), y(0)=10, y'(0)=5

Laplace Transform

Find the inverse Laplace transform of (s^3+s^2+2/s) / [s^2(s^2+3s+2)] Using this (or otherwise), Find the solution of the equation y"+3y'+2y = 1-t Find the transform of the following functions: f(t) = (1+t^2)[u(t-1)-u(t-2)] where u(t) is the unit step function. f(t) = sin(t) for 0

Linear system

Please see attachment.

This question is about an underdamped harmonic oscillator.

Suppose a suspension system of the average car can be fairly well modeled by an inderdamped harmonice oscillator with a natural period of 2 seconds. How far apart should speed bumps be placed so that a car traveling 10 mph over several bumps will bounce more and more violently with each bump?