M-274 Final: MATH 274 Montana State FinalSpring13
Document Summary
Little or no work with result in little or no credit: true or false. If true, give reasonable justi cation supporting this claim. If false, give a valid reason/explanation for why that is the case. (a) 1 t 1 y = cos t, y( ) = 0, has a unique solution in the (b) The function (x, y) = 2xy2 is an integrating factor for the di erential equation (2y 6x)dx + (3x 4x2y 1)dy = 0 (c) x(t) = c1et(cid:20) 6. 3 (cid:21) is a general solution to the system x (t) = (cid:20) 2 3. The functions {ex, e x, cos x, sin x} form a fundamental solution set for the di erential equation y(4) y = 0. (e) 0 (cid:21) is a fundamental matrix for the system x (t) = (cid:20) 0 1. 2 cos t 2 cos(3t) t for f (s) = ln( s2 + 9 s2 + 1.
