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(DE03) The Bernoulli and Riccati Equations
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In this video, we explore two families of first-order non-linear differential equations: the Bernoulli equation and the Riccati equation. For the Bernoulli equation, we prove a theorem that guarantees the solvability of the Bernoulli equation and the structure of its solutions, and work through an example of it. For the Riccati equation, we state the equation, state special cases of the equation, and state and prove a theorem that explains that if you know one particular solution, you can find a more broader solution to the Riccati equation.
*--The Let's Learn, Nemo Community--*
#differentialequation #ode #bernoulliequation
*--The Let's Learn, Nemo Community--*
#differentialequation #ode #bernoulliequation