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5.8 dx(t)/dt + 3.0 x(t) = t, where t is in seconds. How long does it take (in seconds) for the homogeneous solution to be reduced to 23% or its initial value? Write your answer in scientific notation keeping three significant figures (eg. 1.24e-1). Do not include units.

5.8 dx(t)/dt + 3.0 x(t) = t, where t is in seconds. How long does it take (in seconds) for the homogeneous solution to be reduced to 23% or its initial value? Write your answer in scientific notation keeping three significant figures (eg. 1.24e-1). Do not include units.

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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Consider a system whose model is given by 5.8 dx(t)/dt + 3.0 x(t) = t, where t is in seconds. How long does it take (in seconds) for the homogeneous solution to be reduced to 23% or its initial value? Write your answer in scientific notation keeping three significant figures (eg. 1.24e-1). Do not include units.
Transcribed Image Text:Consider a system whose model is given by 5.8 dx(t)/dt + 3.0 x(t) = t, where t is in seconds. How long does it take (in seconds) for the homogeneous solution to be reduced to 23% or its initial value? Write your answer in scientific notation keeping three significant figures (eg. 1.24e-1). Do not include units.
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