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I. Solve and Show Complete Solution. 1. Find the solution of the given differential equation using undetermined coefficient a. y" +y = sin3t, y(0) = 2, y'(0) = 1 2. Find the Laplace Transform of a. f(t) = 3 – 2t2 + 5e-2t – 4sinh3t b. f(t) = 4t²e-2t sin2t 3. Find the Inverse Laplace of -s2+2s+11 a. F(s) = (s-1)(s+5)(s+1) 4. Solve the particular solution of y" + 3y' + 2y = 6et, y(0) = 1, y'(0) = 2, using a. Variation of Parameters b. Laplace Transform

I. Solve and Show Complete Solution. 1. Find the solution of the given differential equation using undetermined coefficient a. y" +y = sin3t, y(0) = 2, y'(0) = 1 2. Find the Laplace Transform of a. f(t) = 3 – 2t2 + 5e-2t – 4sinh3t b. f(t) = 4t²e-2t sin2t 3. Find the Inverse Laplace of -s2+2s+11 a. F(s) = (s-1)(s+5)(s+1) 4. Solve the particular solution of y" + 3y' + 2y = 6et, y(0) = 1, y'(0) = 2, using a. Variation of Parameters b. Laplace Transform

Advanced Engineering Mathematics
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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I. Solve and Show Complete Solution. 1. Find the solution of the given differential equation using undetermined coefficient a. y" +y = sin3t, y(0) = 2, y'(0) = 1 2. Find the Laplace Transform of a. f(t) = 3 - 2t? + 5e-2t – 4sinh3t b. f(t) = 4t2e-2t sin2t 3. Find the Inverse Laplace of -s?+2s+11 a. F(s) = (s-1)(s+5)(s+1) 4. Solve the particular solution of y" + 3y' + 2y = 6e t, y(0) = 1, y'(0) = 2, using || a. Variation of Parameters b. Laplace Transform
Transcribed Image Text:I. Solve and Show Complete Solution. 1. Find the solution of the given differential equation using undetermined coefficient a. y" +y = sin3t, y(0) = 2, y'(0) = 1 2. Find the Laplace Transform of a. f(t) = 3 - 2t? + 5e-2t – 4sinh3t b. f(t) = 4t2e-2t sin2t 3. Find the Inverse Laplace of -s?+2s+11 a. F(s) = (s-1)(s+5)(s+1) 4. Solve the particular solution of y" + 3y' + 2y = 6e t, y(0) = 1, y'(0) = 2, using || a. Variation of Parameters b. Laplace Transform
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