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Practice Problems for Test IV - Applied Differential Equations | MTH 238, Exams of Differential Equations

Jefferson State Community CollegeDifferential Equations
Prof. Robert O. Wallace

Material Type: Exam; Professor: Wallace; Class: Applied Differential Equations; Subject: Mathematics; University: Jefferson State Community College; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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Download Practice Problems for Test IV - Applied Differential Equations | MTH 238 and more Exams Differential Equations in PDF only on Docsity!

Mth 238 Practice Problems for Test 4 Please show all work neatly and completely using proper technique and notation as discussed in class. 1. Compute the Laplace transform of the following function using the definition. 10 O1 2. Computethe Laplace transform of the following functions. (a) Ad) = 2 + 10t9 + Scos2t + 7 sinh 2t (b) fd) = e* sin31 + te? — Se (c) At) = U(t—3) cosh 21 + 106(t— 2) (d) Ao) = J) 1? cos(t— u)du (e) Ad) S{cos¢] 3. Computethe inverse Laplace transform of each of the following functions. Fs) = £4 —5 3s_, 2s+4 @) FO) = 5+ aya t 9 * 425 (») Fs) = —L +s (s—3)? 8? =4s+13 g2 — ORD = BAed a Ss (d) F(s) = @ip a 2s (© FG) = $+ 10 4. Use the method of Laplace transfoms to solve each initial value problem. yl —4y! + 4y = 10 (a) < y@)=0 y'0)=1 y+ 4y = (t= 1) (b) < y(0)=1 yO) =0 v' = J) yw) cost udu yO) = 1 (c)