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Question: differential equation...

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Differential equation

35. The differential equation dy/dx - Px)Q)y Roy is known as Riccatis equation. (a) A Riccati equation can be solved by a succession obostutions provided that of two substitutions provided that we know a
particular solution y1 of the equation. Show that the substitution y y u reduces Riccatis equation to a Bernoulli equation (4) with n- 2. The Bernoulli equation can then be reduced to a linear equation by the substitution wu (b) Find a one-parameter family of solutions for the differential equation where y2/x is a known solution of the equation.
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