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Consider the Bernoulli equation dy/dx + y = y^2, y(0) = −1 Perform the substitution that...

Consider the Bernoulli equation dy/dx + y = y^2, y(0) = −1

Perform the substitution that turns this equation into a linear equation in the unknown u(x).

Solve the equation for u(x) using the Laplace transform.

Obtain the original solution y(x). Does it sound familiar?

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