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A Bernoulli Equation

Calculus Level 2

\[\large y'+y=e^xy^3\]

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

\[\frac{1}{\sqrt{e^2+2e}}\] \[\frac{1}{\sqrt{e^2-e}}\] \[\frac{1}{\sqrt{e^2+e}}\] \[\frac{1}{\sqrt{e^2-2e}}\]

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by Samir Khan

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