November 15th, 2015, 11:12 PM  #1 
Newbie Joined: Nov 2015 From: Australia Posts: 1 Thanks: 0  Euler's Formula
Find all solutions for x and y using Euler's formula.. e^xi=x/(1i)+y/(2+3i) I've started by doing the conjectures. I know e^xi = cosx+isinx but I am stuck. Please help. Last edited by skipjack; November 16th, 2015 at 05:11 AM. 
November 16th, 2015, 02:57 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,852 Thanks: 743 
Don't use x in the exponent, since you have x and y already. Separate right side into real and imaginary parts. $\displaystyle (\frac{x}{2}+\frac{2y}{13})+i(\frac{x}{2}\frac{3y}{13})$ Now square the real and imaginary parts separately and add to get one equation (sum = 1) relating x and y. 

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