QUESTION 13 For the following, write the given system in the form x' = P(t)x + f(t). x' = 2x - 3y, y' = x + y + 2z,z' = 5y - 7z -3 NO A. x = OHN 1 2 x+ 5 7 NO B. x'= OHN -3 NO C. x = OHN x+ 5 12 3 D. x = 1 0 NO x+ 5QUESTION 14 Write the general solution of the system defined from the following vectors: x' A. x(t) = est + e-2t] 3t + e-2t B. x(t) = crest + 2cze-2t 3cie3t + Cze-2t C. x(t) = [Cie-2t + 2cze3t] 13ce-2t + Coe3t D. x(t) = Great 13ce3tQUESTION 7 Let m1 = 2.1112 2 1.k1 = 100,5:2 = 50,195 = 0. Substitute these values into the motion linear system of two masses and three springs: m1x\" (k1 + k2)x+ kg}: "123'\" _ k2]: (k2 + k3)? Find the general solution. A. x(t] = a1 cost+ azsint+ b1 cost +152 sint, y(t] = 2(11 cos r. i 2oz sin t 131 cos E in; sin t B. x(t] = :11 cos 5t + a2 sin5t b1 cos 10t [)2 sin 10L y(t] = :11 cos 5r. i :12 sin 5t + b1 cos 10!\". I b; sin lt C. th) = cos 5t + sin 5t + cos lt + sin lt, y(t) = cos 5t + sin 5t cos 10L\" sin 10t D. th) = :11 cos 5t + a2 sin 5t + bl cos 10t + 112 sin lDt, y(t) = 2:11 cos 5t + 2-22 sin 5t b1 cos 10f [)2 sin lDt