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MATH 221 Final: MATH 221 Drexel Sample Final
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turquoisegnu128
15 Feb 2019
School
Drexel University
Department
Mathematics
Course
MATH 221
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All
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Lesson 20 Inverse Laplace Transforms: Problem 10 Prev Up Next 28 + 6 2s +6 (I point) Consider the function F(s) = FG)-3 + 3s 1 a. Find the partial fraction decomposition of F(s): 2s +6 s3 - 3s2+3s -1 b. Find the inverse Laplace transform of F(s). f(t) = C 1 {F(s)) = help (formulas) Note: You can earn partial credit on this problem Preview Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.
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(1 pt) Use the Laplace transform to solve the following initial value problem: y', + 7y' = 0 y(0)--1, y'(0) = 3 First, using Y for the Laplace transform of y (t), i e , Y-L {y(t) } find the equation you get by taking the Laplace transform of the differential equation Now solve for Y(s) = -(s+6)/(s(s+7)) + st b where a
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1pt)Use the Laplace transform to solve the following ni al ale27y= 0 y(0)=2,y(0)=-2 First, using Y for the Laplace transform of y (t), i e , Y = L {y(t)), find the equation you get by taking the Laplace transform of the differential equation =0 s 2Y(s)+6sY(s)-2s-27Y(s)-10 Now solve for Y (s) and write the above answer in its partial fraction decomposition, Y(s)+h = -+ where b a
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