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A Bernoulli Equation

Calculus

$\large y'+y=e^xy^3$

If a function $y$ satisfies the differential equation above, and $y(0)=\dfrac{1}{\sqrt{3}}$ , what is $y(1)$ ?

\frac{1}{\sqrt{e^2+e}}

\frac{1}{\sqrt{e^2-2e}}

\frac{1}{\sqrt{e^2+2e}}

\frac{1}{\sqrt{e^2-e}}

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by Samir Khan

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