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# Complex valued functions watch

1. Let be defined by for

Let and . If either pr prove that the differential equation has a solution . Express the value of in terms of and .

This one is pretty straight forward I think, here is my attempt.

Let with either or . This gives me

if and since or means therefore I have proven has a solution

I'm pretty sure this is correct, can someone check it for me? Thank you.
2. Looks good to me.

You're given L(y), and you're given y, so it's just a case of plugging them in to the equation and rearranging to find B, then checking the fraction's denominator can't come to zero.

All good!

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Updated: February 4, 2017
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