1. Bernoulli equation particular

Anyone can help me with this equation

dy/dx*(x^2*y^3+xy)=1

Thx

PS: I doubt that is a Bernoulli equation ?????

2. Originally Posted by tenca
Anyone can help me with this equation

dy/dx*(x^2*y^3+xy)=1

Thx

PS: I doubt that is a Bernoulli equation ?????
Actually it is! If we write the ODE as

$\frac{dy}{dx} = \frac{1}{x^2 y^3+xy}$

Then flip the equation

$\frac{dx}{dy} = x^2 y^3+xy$

and think of this as an equation for $x = x(y)$

make the substitution $x = \frac{1}{u}$ and it will become linear.