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Q2. The differential equation f7: +p($)y + q(m)y2 = at) is known as Riccoti's equation. If one particular solution, say yl (:13), of the Riccati's
Q2. The differential equation f7: +p($)y + q(m)y2 = at) is known as Riccoti's equation. If one particular solution, say yl (:13), of the Riccati's equation is known, then its solution y = at) can be obtained by two consecutive substitutions. (1'). Show that the substitution y = y1 l it reduces Riccati's equation to a Bernoulli equation, and specify n. [1.5 points) (ii). Transform the Bernoulli equation obtained in (i) to linear equation. [1 points)
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