Using Laplace Transforms Method, solve the following differential equations a) x"(t) – x(t) = 4Cost with x(0) = 0, x'(0) = 1 %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using Laplace Transforms Method, solve the following differential equations
а) x"(() — х(() %3D 4СOS
with x(0) = 0, x'(0) = 1
b) у" () — бу'(t) — 9у(t) — 61?е3е
with y'(0) = y(0) = 0
Transcribed Image Text:Using Laplace Transforms Method, solve the following differential equations а) x"(() — х(() %3D 4СOS with x(0) = 0, x'(0) = 1 b) у" () — бу'(t) — 9у(t) — 61?е3е with y'(0) = y(0) = 0
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