- #1
pat666
- 709
- 0
Homework Statement
solve the differential equation
[tex] y'(t)=-4y+6y^3 [/tex]
Homework Equations
The Attempt at a Solution
I'm pretty sure (not positive) that this is a Bernoulli Equation.
I've been following this wiki in an attempt to solve: http://en.wikipedia.org/wiki/Bernoulli_differential_equation
[tex] (y'(t)=-4y+6y^3)/y^3 [/tex]
[tex] y'(t)/y^3=-4/y^2+6[/tex]
[tex] w=1/y^2 [/tex]
[tex] y'(t)*w/y=-4w+6[/tex]
I'm stuck here, also there's no x's or t's here so I am not sure that it is a Bernoulli Equation?
thanks for any help