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November 15th, 2015, 10:12 PM   #1
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Arrow 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.
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November 16th, 2015, 01:57 PM   #2
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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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