An equation in the form y' + p(z)y-q(z)y with ny 0,1 is called a Bernoulli equation and it can be solved using the subst

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An Equation In The Form Y P Z Y Q Z Y With Ny 0 1 Is Called A Bernoulli Equation And It Can Be Solved Using The Subst 1 (16.91 KiB) Viewed 13 times

An equation in the form y' + p(z)y-q(z)y with ny 0,1 is called a Bernoulli equation and it can be solved using the substitution which transforms the Bernoulli equation into the following first order linear equation for t +(1-n)p(z)e (1-n)q(z) Given the Bemoull equation we have n 3/4 501- We obtain the equation + ✓+2y-ny! Solving the resulting first order linear equation for es we obtain the general solution (with arbitrary constant C) given by ta Then transforming back into the variables z and g and using the initial condition (1)-1 to find C Finally we obtain the explict solution of the initial value problemas V