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...

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Extracted 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: