A Bernoulli differential equation is one of the form dy/dx+P(x)y=Q(x)y^n.

Observe that, if n=0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u=y^(1−n) transforms the Bernoulli equation into the linear equation
du/dx+(1−n)P(x)u=(1−n)Q(x).

Use an appropriate substitution to solve the equation
y′−(2/x)y=y^3/x^2,

and find the solution that satisfies y(1)=1.

y(x)=

What is the order of magnitude for the number of liters in a large bottle of soda served at a party

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?

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