4. x"(t) – x(t) = 4Cost with x(0) = 0, x'(0) = 1 5. y"(t) – 6y'(t) – 9y(t) = 6t²e3t with y'(0) = y(0) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using Laplace Transform Method, solve the Differential equations

SOLVE #5 ONLY.

4. x"(t) – x(t) = 4Cost
with x(0) = 0, x'(0) = 1
5. y"(t) – 6y'(t) – 9y(t) = 6t²e3t
with y'(0) = y(0) = 0
Transcribed Image Text:4. x"(t) – x(t) = 4Cost with x(0) = 0, x'(0) = 1 5. y"(t) – 6y'(t) – 9y(t) = 6t²e3t with y'(0) = y(0) = 0
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