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 November 15th, 2015, 10:12 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/(1-i)+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 04:11 AM.
 November 16th, 2015, 01:57 PM #2 Global Moderator   Joined: May 2007 Posts: 6,786 Thanks: 708 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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