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Solve the differential equation using Laplace transforms. The solution is y(t) and y(t) = | = y"'-y 12y=-3t+263(t), y(0) = 1, y (0) = -1 t/4-1/48 +16/21e^(-3t)+29/112e^(4t)+(2/7)step(t-3)(e^(4(t-3))-e^(-3(t-3))) for t > 3 for 0 < t < 3

Solve the differential equation using Laplace transforms. The solution is y(t) and y(t) = | = y"'-y 12y=-3t+263(t), y(0) = 1, y (0) = -1 t/4-1/48 +16/21e^(-3t)+29/112e^(4t)+(2/7)step(t-3)(e^(4(t-3))-e^(-3(t-3))) for t > 3 for 0 < t < 3

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 differential equation using Laplace transforms. y'y12y = -3t+263(t), y(0) = 1, y(0) = -1 The solution is y(t) = t/4-1/48 +16/21e^(-3t)+29/112e^(4t)+(2/7)step(t-3)(e^(4(t-3))-e^(-3(t-3))) and y(t) = | for t > 3 for 0 < t < 3
Transcribed Image Text:Solve the differential equation using Laplace transforms. y'y12y = -3t+263(t), y(0) = 1, y(0) = -1 The solution is y(t) = t/4-1/48 +16/21e^(-3t)+29/112e^(4t)+(2/7)step(t-3)(e^(4(t-3))-e^(-3(t-3))) and y(t) = | for t > 3 for 0 < t < 3
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