3. Solve the following initial value problems using the Laplace transform: a) y" - 3y' + 2y = 8(t-1), y(0) = 1, y(0) = 0

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Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
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3. Solve the following initial value problems using the Laplace transform:
a) y" - 3y + 2y = 8(t-1), y(0) = 1, y(0) = 0
b) y" - 4y = 8(t-3), y(0) = 0, y'(0) = 1
c) y" + 4y + 3y = 8(t2), y(0) = 1, y'(0) = -1
d) y" + 6y + 13y = 8(t), y(0) = 5, y'(0) = 5
Transcribed Image Text:3. Solve the following initial value problems using the Laplace transform: a) y" - 3y + 2y = 8(t-1), y(0) = 1, y(0) = 0 b) y" - 4y = 8(t-3), y(0) = 0, y'(0) = 1 c) y" + 4y + 3y = 8(t2), y(0) = 1, y'(0) = -1 d) y" + 6y + 13y = 8(t), y(0) = 5, y'(0) = 5
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