Smallest interval for existence of unique solution of differential equation

Apr 2017
87
1
India
The smallest interval on which a unique solution exist for the IVP y′=e^(2y), y(0)=0, is what?

A)|x|<=1/2e
B)|x|<=2e
C)|x|<=2/e
D)|x|<=1/e
I am confused which one is correct. Please help.:confused:
 
Oct 2018
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USA
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skipjack

Forum Staff
Dec 2006
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In that case, what would the unique solution be for the cases (B) and (C)?