Application Activity 1 2. Now let us add the forces of the wind. From the video we can see that these forces are pushing the bridge up, and then, as the bridge twists, they change the direction and start pushing down, then they reverse again, and so on. Forces like that can be mimic by a trigonometric function. For simplicity let us say they are given by F(t) = cos(wt) Placing this in the equation used earlier gives us the following differential equation that describes the motion of the bridge under the influence of the force of the wind. dix de? + wx= cos(wt) Now use what you learned in this class to calculate a particular solution of this equation. Start with the solution in the form: X, (t) = At coswt + Btsin wt and calculate the specific and which are needed for A B to be a solution of the X, (t ) equation with wind forces. Write the result as: X, (0)=