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Question 7. Let y(t) satisfy the following 2nd order ordinary differential equation: 6y" – 3y' - 3y = 2, with initial conditions: y(0) = 7, y'(0) = 5. %3D Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: (6s2 + bs + c)Y(s): d +e+ fs, where b, c, d, e and f are constants. The above equation for Y(s) may be rearranged to give: ps + qs +r s(6s2 + bs + c) where p, q andr are constants. Y(s) = |3D Enter b: Enter c: Enter d: Enter e: Enter f: Enter p Enter q: Enter r:

Question 7. Let y(t) satisfy the following 2nd order ordinary differential equation: 6y" – 3y' - 3y = 2, with initial conditions: y(0) = 7, y'(0) = 5. %3D Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: (6s2 + bs + c)Y(s): d +e+ fs, where b, c, d, e and f are constants. The above equation for Y(s) may be rearranged to give: ps + qs +r s(6s2 + bs + c) where p, q andr are constants. Y(s) = |3D Enter b: Enter c: Enter d: Enter e: Enter f: Enter p Enter q: Enter r:

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 7. Let y(t) satisfy the following 2nd order ordinary differential equation: by" – 3y' – 3y = 2, with initial conditions: y(0) = 7, y' (0) = 5. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (6s2 +bs + c)Y(s): +e+ fs, where b, c, d, e and f are constants. The above equation for Y(s) may be rearranged to give: ps? + qs +r s(6s2 + bs + c) Y(s) = where p, q and r are constants. Enter b: Enter c: Enter d: Enter e: Enter f: Enter p. Enter q: Enter r:
Transcribed Image Text:Question 7. Let y(t) satisfy the following 2nd order ordinary differential equation: by" – 3y' – 3y = 2, with initial conditions: y(0) = 7, y' (0) = 5. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (6s2 +bs + c)Y(s): +e+ fs, where b, c, d, e and f are constants. The above equation for Y(s) may be rearranged to give: ps? + qs +r s(6s2 + bs + c) Y(s) = where p, q and r are constants. Enter b: Enter c: Enter d: Enter e: Enter f: Enter p. Enter q: Enter r:
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