Solve Bernoulli Equation x'=b(t)x+c(t)x^n when n<0

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The|M|onster
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How do I solve a Bernoulli equation of the form x' = b(t)x + c(t)x^n when n < 0?
 
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The|M|onster said:
How do I solve a Bernoulli equation of the form x' = b(t)x + c(t)x^n when n < 0?


[tex]\frac{dx}{dt}-b(t)x=c(t)x^{n}[/tex] A standard substitution is [tex]v=x^{1-n}[/tex]