Question: 1. Suppose a stay cable supporting a bridge dilates according to the equation y + 731' + 4y 2 0, where *y is a positive

1. Suppose a stay cable supporting a bridge dilates according to the equation y\" + 731' + 4y 2 0, where *y is a positive constant less than 1. (a) Find a general solution for the dilation y. (b) Suppose a wind applies a periodic force on the bridge resulting in the following equation for the dilation y\" + 711' + 4y 2 F0 cos(wt) Find the solution for 31(0) : O, y'(0) = O. (c) Suppose the cable snaps at y = 10. Find the minimal value of 7 for which the bridge can withstand the winds of magnitude 2

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