Bernoulli differential equation
= Bernoulli differential equation
{c}
{wiki}
For
$$
y'+P(x)y=Q(x)y^n,\qquad n\ne0,1,
$$
the substitution $z=y^{1-n}$ gives the linear equation
$$
z'+(1-n)Pz=(1-n)Q.
$$
= Bernoulli differential equation
{c}
{wiki}
For
$$
y'+P(x)y=Q(x)y^n,\qquad n\ne0,1,
$$
the substitution $z=y^{1-n}$ gives the linear equation
$$
z'+(1-n)Pz=(1-n)Q.
$$