4. Using Laplace transform methods, solve for t≥ 0 the following simultaneous differential equation subject to the given initial conditions: dx dy 2+3+7x = 14t + 7 dt dt 5 dx 3 dy dt dt Subject to x=y=0 at t = 0. +4x+6y=14t – 14

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Using Laplace transform methods, solve for t≥ 0 the following
simultaneous differential equation subject to the given initial conditions:
dx
dy
2 + 3 +7x = 14t +7
dt dt
dx
dy
3 +4x+6y=14t – 14
dt
dt
Subject to x=y=0 at t = 0.
5
Transcribed Image Text:4. Using Laplace transform methods, solve for t≥ 0 the following simultaneous differential equation subject to the given initial conditions: dx dy 2 + 3 +7x = 14t +7 dt dt dx dy 3 +4x+6y=14t – 14 dt dt Subject to x=y=0 at t = 0. 5
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