Determine the solution x(t) for the given ODE and initial values. (a) x"+ 4x(t) = 0 with x'(0)=3 and x(0)=3 (b) x"(t) -4x'(t)+4x(t) = 2u(t) with x'(0)=0 and x(0)=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Determine the solution x(t) for the given ODE and initial values.
(a) x"+4x(t) = 0 with x'(0)=3 and x(0)=3
(b) x"(t) -4x'(t)+4x(t) = 2u(t) with x'(0)=0 and x(0)=0
Transcribed Image Text:Determine the solution x(t) for the given ODE and initial values. (a) x"+4x(t) = 0 with x'(0)=3 and x(0)=3 (b) x"(t) -4x'(t)+4x(t) = 2u(t) with x'(0)=0 and x(0)=0
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