Question

1. For the following differential equation: $\ddot{x} + x = F_0 \cos(\omega t)$ Set $F_0 = 1$ and $\omega = 0.9$. Starting with zero initial conditions, i.e. $x(0) = \dot{x}(0) = 0$, find the solutions $x$ and $\dot{x}$ for $0 \le t \le 100$. Plot $x(t)$.

          1. For the following differential equation:
$\ddot{x} + x = F_0 \cos(\omega t)$
Set $F_0 = 1$ and $\omega = 0.9$. Starting with zero initial conditions, i.e. $x(0) = \dot{x}(0) = 0$, find
the solutions $x$ and $\dot{x}$ for $0 \le t \le 100$. Plot $x(t)$.

1. For the following differential equation:
ẍ + x = F0 cos(ω t)
Set F0 = 1 and ω = 0.9. Starting with zero initial conditions, i.e. x(0) = ẋ(0) = 0, find
the solutions x and ẋ for 0 ≤ t ≤ 100. Plot x(t).

Added by Tina B.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

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Solved by Expert Oswaldo Jiménez

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In MATLAB: 1. For the following differential equation: x = F*cos(wt) Set Fo = 1 and Ï‰ = 0.9. Starting with zero initial conditions, i.e. x0 = 0 and áº‹0 = 0, find the solutions x and áº‹ for 0 â‰¤ t â‰¤ 100. Plot x.