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Come Given Characterstic equation (H? 24+2) H3 14+34 = 0 e² ar + 2 M = +2 + 4- 48281 using - b ± √b²-4ac | Xو M= २a 2 - 5-4 = 27 li Y = the eld and r3=0 M = 0, 0, 0 and (+3)4 = 0 M= -3, -3,-3,-3 Y«) = (5 + C, X + 6zxe) + ( Cut C5x+ CcX?+ C723) e-3X + er (C8 Cosz + ca sing) The bet of Here 5 y,=1, fundamental solution- { 1, , 32, e-34, 5ce-3x, m?é-30, x3e-34, el cos, esindey Y₂ = 0c2 Yg = x e 3x xc²e-3a y, = , YG = Yy=e-3x Y = x3e-3x Yg = e cosa Yg = e sina
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