Problem

A differential equation of the form is called a Riccati equation. (a) If y =...

A differential equation of the form

is called a Riccati equation.

(a) If y = Y(x) is a known solution to Equation (1.8.20), show that the substitution

reduces it to the linear equation

(b) Find the general solution to the Riccati equation is a solution.

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Solutions For Problems in Chapter 1.8

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