- #1

tracedinair

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## Homework Statement

Solve the Bernoulli equation,

y'(x) - 4y(x) = 2e^(x) * sqrt(y(x))

## Homework Equations

y' + P(x)y = Q(x)y^n - Bernoulli Eqn

e^(∫P(x) dx) - Integrating Factor

## The Attempt at a Solution

y' - 4y = 2e^(x) * y^(1/2)

Divided both sides by y^(1/2)

y'/y^(1/2) - 4y/y^(1/2) = 2e^(x)

y'/y^(1/2) - 4y^(1/2) = 2e^(x)

My problem comes when changing variables. What am I supposed to choose for 'u' (the variable I'll be changing to)? Just y^(1/2)? My text and notes aren't very clear on this.

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