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Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 6y' +9y = 9, with initial conditions: y(0) = 1, y'(0) = -4. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (5s² + 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(58² + bs + c) where p, q and r are constants. Y(s): = Enter b: Enter c: Enter d: Enter e: Enter f: Enter p: Enter q: Enter r: I

Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 6y' +9y = 9, with initial conditions: y(0) = 1, y'(0) = -4. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (5s² + 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(58² + bs + c) where p, q and r are constants. Y(s): = Enter b: Enter c: Enter d: Enter e: Enter f: Enter p: Enter q: Enter r: I

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 4. Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 6y' +9y = 9, with initial conditions: y(0) = 1, y'(0) = −4. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (5s² + 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 Y(s) = s(58² + bs + c) where p, q and r are constants. Enter b: Enter c: Enter d: Enter e: Enter f: Enter p: Enter q: Enter r: I
Transcribed Image Text:Question 4. Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 6y' +9y = 9, with initial conditions: y(0) = 1, y'(0) = −4. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (5s² + 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 Y(s) = s(58² + bs + c) where p, q and r are constants. Enter b: Enter c: Enter d: Enter e: Enter f: Enter p: Enter q: Enter r: I
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