An Equation In The Form Y P X Y Y With 11 0 1 Is Called A Bernoull Equation And It Can Be Solved Using The Subotut 1 (19.52 KiB) Viewed 65 times
An Equation In The Form Y P X Y Y With 11 0 1 Is Called A Bernoull Equation And It Can Be Solved Using The Subotut 2 (19.52 KiB) Viewed 65 times
An equation in the form y + p(x)y=()y" with 11 +0,1 is called a Bernoull equation and it can be solved using the subotution u = ln which transforms the Bemouill equation into the following first order linear equation for tt + (1 - 1)(x) = (1 - n)g(2) Given the Bernoulli equation we have 12 SOU We obtain the equation ' + 1 Solving the resulting first order linear equation for u we obtain the general solution (with arbitrary constant Claven by Then transforming back into the variables r and y and using the initial condition y(0) 1 to find C = Finally we obtain the explicit solution of the initial value problem y
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