4. Solve the following initial value problems using the Laplace transform: a) y + 3y = 0, y(0) = 1.5. b) y" - y - 6y=0, y(0)=11, y'(0) = 28 c) y" - 4y + 3y = 6l-8, y(0) = 0, y'(0) = 0 d) y" + 3y +2.25y = 91³ +64, y(0) = 1, y'(0) = 31.5 e) y" + 3y - 4y = 6e²-³, y(1.5) = 4, y′(1.5) = 5

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