Let y(t) satisfy the following 2nd order ordinary differential equation: 4y" - 5y' - 2y = -6, with initial conditions: y(0) = -1, y'(0) = 2. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (4s²+bs + c)Y(s) = S where b, c, d, e and f are constants. + e + fs, The above equation for Y(s) may be rearranged to give: ps²+gs+r Y(s) = s(48²+bs + c) where p, q and r are constants. 1
Let y(t) satisfy the following 2nd order ordinary differential equation: 4y" - 5y' - 2y = -6, with initial conditions: y(0) = -1, y'(0) = 2. Let Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as: d (4s²+bs + c)Y(s) = S where b, c, d, e and f are constants. + e + fs, The above equation for Y(s) may be rearranged to give: ps²+gs+r Y(s) = s(48²+bs + c) where p, q and r are constants. 1
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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