Answer
$e(cos(2)+isin(2))$
Work Step by Step
$exp(1+2i) = e^{(1+2i)} = e^1e^{2i}$
Applying Euler's equation to $e^{2i}$ yields $cos(2)+isin(2)$
$e(cos(2)+ isin(2))$
Elementary Differential Equations and Boundary Value Problems 9th Edition
by Boyce, William E.; DiPrima, Richard C.
Published by
Wiley
ISBN 10:
0-47038-334-8
ISBN 13:
978-0-47038-334-6
Chapter 3 - Second Order Linear Equations - 3.3 Complex Roots of the Characteristic Equation - Problems - Page 163: 1
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