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#1 2007-11-26 11:23:37

AGMatt
Guest

Second order imaginary diff eq.

Does anyone know how to solve the particular solution for a differential equation of the form

y'' - jAy' = jB

where j is sqrt(-1)

Thanks.

#2 2007-11-26 13:11:55

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Second order imaginary diff eq.

You just treat it as if it’s a real differential equation (the fact that the coefficients are complex doesn’t make things different). Solve the auxiliary equation, get the general solution for the homogeneous case, find a particular integral, and combine the two.

Last edited by JaneFairfax (2007-11-26 13:12:26)

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