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he Question Let y(t) satisfy the following 2nd order ordinary differential equation: Sy" + 2y' - 2y = 5, vith initial conditions: y(0) = 4, y' (0) = −5. Let Y(s) represent the Laplace Transform of y(t). Then Y (s) can be epresented as: d 6s² + bs + c)Y(s) +e+fs, S where b, c, d, e and f are constants. = The above equation for Y (s) may be rearranged to give: ps² + qs+r ✔(s) = s(6s² + bs + c) where p, q and r are constants.

he Question Let y(t) satisfy the following 2nd order ordinary differential equation: Sy" + 2y' - 2y = 5, vith initial conditions: y(0) = 4, y' (0) = −5. Let Y(s) represent the Laplace Transform of y(t). Then Y (s) can be epresented as: d 6s² + bs + c)Y(s) +e+fs, S where b, c, d, e and f are constants. = The above equation for Y (s) may be rearranged to give: ps² + qs+r ✔(s) = s(6s² + bs + c) where p, q and r are constants.

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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The Question Let y(t) satisfy the following 2nd order ordinary differential equation: 6y" + 2y' 2y = 5, with initial conditions: y(0) = 4, 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, S where b, c, d, e and f are constants. The above equation for Y(s) may be rearranged to give: ps² + qs+r s(6s² + bs + c) where p, q and r are constants. Y(s) = =
Transcribed Image Text:The Question Let y(t) satisfy the following 2nd order ordinary differential equation: 6y" + 2y' 2y = 5, with initial conditions: y(0) = 4, 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, S where b, c, d, e and f are constants. The above equation for Y(s) may be rearranged to give: ps² + qs+r s(6s² + bs + c) where p, q and r are constants. Y(s) = =
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