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10-14-review

# 10-14-review - Friday Diﬀerential Equations — Fall 2011...

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Unformatted text preview: Friday, 10/14/11 Diﬀerential Equations — Fall 2011 In-class review for Sections 7.2–7.5 1 Find the Laplace transform of the solution y to the initial value problem y + 2y + 2y = 2 1 for 0 ≤ t ≤ 7, ; t for t > 7. y (0) = 2, Suppose that L {y } = (s2 2s − 7 . − 2s + 5)(s − 1) What is y ? More problems on the back... y (0) = 1. Friday, 10/14/11 Diﬀerential Equations — Fall 2011 3 Find a ﬁrst-order diﬀerential equation for the Laplace transform of the solution y to the initial value problem y + ty + 2y = e3t ; y (0) = y (0) = 0. Hint: let Y (s) denote the Laplace transform of y . Your answer will include Y (s) and Y (s). 4 Suppose that L {y } = What is y ? s2 − s + 1 . s4 − s3 + s2 − s ...
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10-14-review - Friday Diﬀerential Equations — Fall 2011...

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