Question: Please see attachment for questions. (1 point) For the differential equation y + 4y' + 13y = 0, a general solution is of the form

Please see attachment for questions.

(1 point) For the differential equation y\" + 4y' + 13y = 0, a general solution is of the form y = e'2x(C1 sin 3x + C2 cos 3x), where C1 and C2 are arbitrary constants. Applying the initial conditions y(0) = 0 and y' (0) = 12, find the specific solution. y: (1 point) Match the third order linear equations with their fundamental solution sets. 1. y" - y" - y' ty=0 2. y" + 3y" + 3y' ty=0 3. y" - 5y" + 6y' =0 4. ty" - y" = 0 5. y" - by" + y' - by = 0 6. y" +y' =0 A. 1, e2t, e3t B. e, tel, et C. 1, cos(t), sin(t) D. 1, t, to E. er, cos(t), sin(t) Fet, tet, the t

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