Coefficients exclusively for this problem.  (dz/dt) - 3z = 6 + 2e^(-2t), z(0) = -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Make sure to provide a solution to the given initial value problem with the needed differential equations solving technique titled: Method of Undetermined Coefficients. Make sure to use Method of Undetermined Coefficients exclusively for this problem. 

(dz/dt) - 3z = 6 + 2e^(-2t), z(0) = -2

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