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ODE with complex coefficients
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Virgil Stokes
Nov 7, 2009, 6:55:14 AM11/7/09
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Does anyone have an example of a 1st order ordinary differential
equation (initial condition type) with complex coefficients that can
have oscillations?
equation (initial condition type) with complex coefficients that can
have oscillations?
--V. Stokes
Mark McClure
Nov 8, 2009, 6:50:54 AM11/8/09
to
Does this count:
Clear[y];
{sol} = DSolve[{y'[t] == I*y[t], y[0] == 1},
y[t], t];
y[t_] = y[t] /. sol;
y[t] // InputForm
E^(I*t)
We could visualize it like so:
Graphics3D[Line[Table[{t, Re[y[t]], Im[y[t]]},
{t, 0, 20, 0.1}]]]
Mark McClure
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