(3 points) An equation in the form y' + p() = q)y" with n *0,1 is called a Bernoull equation and it can be solved using

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3 Points An Equation In The Form Y P Q Y With N 0 1 Is Called A Bernoull Equation And It Can Be Solved Using 1 (22.89 KiB) Viewed 25 times

(3 points) An equation in the form y' + p() = q)y" with n *0,1 is called a Bernoull equation and it can be solved using the substitution v=y!" which transforms the Bernoulli equation into the following first order linear equation for ✓ + (1 - 1)(x) = (1 - nq(3) Given the Bernoulli equation 3 (-) we have n = SOU We obtain the equation + U Solving the resulting first order linear equation for we obtain the general solution (with arbitrary constant C) given by Then transforming back into the variables r and y and using the initial condition y(1) = 1 to find C = Finally we obtain the explicit solution of the initial vali le problemas V