Rewriting Particular soltution

polarbear123

New member
Joined
Sep 10, 2019
Messages
1
Hello,
I have found a particular solution int he form of
y=Pcos(ax)+Qsin(ax)
but have to find a particular in the form of
y=Re(Aeix)
How can I rewrite, or change the equation so the first is the latter?
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
5,570
\(\displaystyle cos(ax)= \frac{e^{iax}+ e^{-iax}}{2}\)
\(\displaystyle sin(ax)= \frac{e^{iax}- e^{-iax}}{2i}\)
 
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