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Bernoulli’s solution of Riccati Differential Equation 

quantpie
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Outlines the Bernoulli’s solution of the original Riccati Differential Equation. Riccati was interested in knowing the values of the exponent for which the equation can be solved in terms of elementary functions, and it did not take Bernoulli long to come up with the answer in terms of the series of values for which the equation can be solved in finite terms. Note: A Bernoulli had solved the equation before in terms of series, but these guys used to consider series solutions cheating! So Daniel solution was considered a game changer.

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14 май 2020

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Комментарии : 8   
@phandinhthanh2295
@phandinhthanh2295 2 года назад
First I'd like to say that you did a very decent job explaining Bernoulli method for this special case of Riccati equqtion. What bothers me is how to use this method to solve particular equations. I thought the substitution y = w/t was the way to go so I tried it with the equation: y' = t^-4 + y^2. And ended up with the transformed eq: tw' = w^2 + w + t^-2 which is not separable. From this point it just got weird and I lost. I would appriciate any pointers from you and everybody.
@manishathakur6161
@manishathakur6161 4 года назад
Thankyou so much sir .
@madaragrothendieckottchiwa8648
@madaragrothendieckottchiwa8648 4 года назад
Then have the slides on the modeling of the covid of the last video ?
@quantpie
@quantpie 4 года назад
You mean the quiz question 4?
@madaragrothendieckottchiwa8648
@madaragrothendieckottchiwa8648 4 года назад
Exactly would have been very nice of you
@quantpie
@quantpie 4 года назад
@@madaragrothendieckottchiwa8648 okie, getting published at 9pm BST tonight!
@madaragrothendieckottchiwa8648
@madaragrothendieckottchiwa8648 4 года назад
Good good thanks work !!!
@quantpie
@quantpie 4 года назад
thanks!
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