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e. dt2 d²y dy + 4y = 8t – 10, y(0) = 1, y'(0) = 7 dt f. 3- dy 3– 2 - y = 2y – 1, y(0) = 7,y'(0) = 2 dt2 dt d²y + 2+ y = 4 cos 2t , y(0) = 0, y'(0) = 2 dt2 dt d²y_dy h. dt2 -2e2t, y(0) = 0, y' (0) = 1 dt

e. dt2 d²y dy + 4y = 8t – 10, y(0) = 1, y'(0) = 7 dt f. 3- dy 3– 2 - y = 2y – 1, y(0) = 7,y'(0) = 2 dt2 dt d²y + 2+ y = 4 cos 2t , y(0) = 0, y'(0) = 2 dt2 dt d²y_dy h. dt2 -2e2t, y(0) = 0, y' (0) = 1 dt

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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Solve the initial value problems using Laplace Transform

e. dt2 d²y dy + 4y = 8t – 10, y(0) = 1, y'(0) = 7 dt f. 3- dy 3– 2 - y = 2y – 1, y(0) = 7,y'(0) = 2 dt2 dt d²y + 2+ y = 4 cos 2t , y(0) = 0, y'(0) = 2 dt2 dt d²y_dy h. dt2 -2e2t, y(0) = 0, y' (0) = 1 dt
Transcribed Image Text:e. dt2 d²y dy + 4y = 8t – 10, y(0) = 1, y'(0) = 7 dt f. 3- dy 3– 2 - y = 2y – 1, y(0) = 7,y'(0) = 2 dt2 dt d²y + 2+ y = 4 cos 2t , y(0) = 0, y'(0) = 2 dt2 dt d²y_dy h. dt2 -2e2t, y(0) = 0, y' (0) = 1 dt
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