4. Solve the IVP using Laplace transforms. - - a. y" +4y' + 3y = 6 − 2U(t − 3); y(0) = 0, y'(0) = 0 b. y" + 9y=tU(t − 2); y(0) = 0, y'(0) = 1 (2 0≤t<1 - c. y" 5y'+6y= 13 t≥ 1 ; y(0) = −2, y'(0) = 0 d. y" + 4y = {135 3. 0 ≤t<3 t≥ 3 '; y(0) = 0, y'(0) = 0 - - e. y' — 4y = 8(t − 2); y(0) = 0 - y" + 25y = 8(t − 2π); y(0) = 0, y'(0) = 0 f. g. y" - 2y' = - 8(t − 4); y(0) = 1, y'(0) = 0 :

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