# Bernoulli equation

1. Mar 12, 2008

### The|M|onster

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

2. Mar 12, 2008

### sutupidmath

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

3. Mar 13, 2008

### The|M|onster

Thank you very much. it worked perfectly.