Solutions of Complex ODEs
Solve the complex ordinary differential equation 
with initial condition 
and visualize the behavior.
Plot the real and imaginary parts of 
as a function of the real variable 
. Both parts are oscillatory, but the imaginary component stays mostly positive, while the real part is symmetric about zero.
Plot 
as a function of the real variable 
.
Plot the solution parametrically in the complex plane by sampling at different values of 
.
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