Bernoulli differential equation is one of the form dy +p(t)y = q(t)y. dt Observe that, if...

 

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Bernoulli differential equation is one of the form dy +p(t)y = q(t)y". dt Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other vahues of n, the substitution z = y!-" transforms the Bernouli equation into the linear equation dz +(1 – n)p(t)z = (1– n)q(t). dt Use an appropriate substitution to solve the equation and find the sohition that satisfies y(1) = 1. y(t) = Bernoulli differential equation is one of the form dy +p(t)y = q(t)y". dt Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other vahues of n, the substitution z = y!-" transforms the Bernouli equation into the linear equation dz +(1 – n)p(t)z = (1– n)q(t). dt Use an appropriate substitution to solve the equation and find the sohition that satisfies y(1) = 1. y(t) =

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d yt 4 yt Solve Bernoullis equation dt t yt such that y1 1 Divide both sides by yt 2 dyt 8 dt yt3 ... View the full answer