(D? - 1)y = 2t -4 Ost<2 t22 v(0)-0, y'(0)-1 Find Lly) L (y) =D 1+ 를-- 2e-2s 2e-2s s2 L (1) = + - 4 2e-2s 2-1 62(32-1) 이(32-1) (62–1) s(s2–1) 2e-2 L (4) = -1) 4 2e-2, be 24 s(s2–1) s? (s²–1) ' (s2–1) L (14) = F 1) 2 4 2e-2 2e-2, s2 (s2 –1) s(s? -1) (s2 –1) s2 (s2 -1)

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Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

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Q: (2t - 4 0st<2 (D2 – 1)y =- 12 %3D t22 y(0)=0, y'(O)=1 Find L{y} L (y) = F1) 4 2e-2s 2e-2s %3D -…

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