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et y(t) satisfy the following 2nd order ordinary differential equation: " — 5y' — бу = 3, with initial conditions: y(0) = −8, y'(0) = 3. et Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: 5² + bs + c)Y(s) = = S where b, c, d, e and f are constants. he above equation for Y(s) may be rearranged to give: ps² + qs +r −(s) = s(s² + bs + c) where p, q + e + fs, nter b: nter c: nter d: nter e: nter f: nter p: nter q: nter r: I and r are constants.

et y(t) satisfy the following 2nd order ordinary differential equation: " — 5y' — бу = 3, with initial conditions: y(0) = −8, y'(0) = 3. et Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: 5² + bs + c)Y(s) = = S where b, c, d, e and f are constants. he above equation for Y(s) may be rearranged to give: ps² + qs +r −(s) = s(s² + bs + c) where p, q + e + fs, nter b: nter c: nter d: nter e: nter f: nter p: nter q: nter r: I 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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Let y(t) satisfy the following 2nd order ordinary differential equation: y" - 5y' 6y= 3, with initial conditions: y(0) = -8, y'(0) = 3. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (s² + bs + c)Y(s) + e + fs, S where b, c, d, e and ƒ are constants. The above equation for Y(s) may be rearranged to give: ps² + qs+r Y(s) = s(s² + 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:Let y(t) satisfy the following 2nd order ordinary differential equation: y" - 5y' 6y= 3, with initial conditions: y(0) = -8, y'(0) = 3. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (s² + bs + c)Y(s) + e + fs, S where b, c, d, e and ƒ are constants. The above equation for Y(s) may be rearranged to give: ps² + qs+r Y(s) = s(s² + 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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