Engng Maths 214 Riccati equation

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Last updated 6:54 PM on 3/25/26
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4 Terms

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Riccati equation

  • dy/dx = P(x) + Q(x) y + R(x) y2

  • solution given that can be used to reduce to Bernoulli equation of n = 2

  • u = y - y0

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Solving Riccati equation

  • Multiply du by 1/dx → du/dx = dy/dx - dy0/dx

  • Replace dy/dx & sub in u, then cancel terms

  • Solve BE

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