# Math Help - bernoulli problem

1. ## bernoulli problem

$y'=y+xy^{3}$

need some help!

2. \begin{aligned}
y'&=y+xy^{3} \\
y'-y&=xy^{3} \\
\frac{y'}{y^{3}}-\frac{1}{y^{2}}&=x.
\end{aligned}

Make the substitution $z=\frac1{y^2}.$

3. Originally Posted by skystar
$y'=y+xy^{3}$

need some help!
Read the section Bernoulli's Equations in my Differential Equations Tutorial. This may help you out a bit...

Make the substitution $v=y^{-2} \implies y=v^{-\frac{1}{2}}$ to make it linear.