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In: Advanced Math

Again considering y'' + 4y' + 3y = 0: (a) Solve the IVP y'' + 4y'...

Again considering y'' + 4y' + 3y = 0:

(a) Solve the IVP y'' + 4y' + 3y = 0; y(0) = 1, y'(0) = α where α > 0.

(b) Determine the coordinates (tm,ym) of the maximum point of the solution as a function of α.

(c) Determine the behavior of tm and ym as α →∞.

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