Anyone can help me with this equation

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

Thx

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

(Rofl)(Evilgrin)

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- Dec 26th 2008, 08:38 AMtencaBernoulli 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 ?????

(Rofl)(Evilgrin) - Dec 26th 2008, 09:51 AMJester
Actually it is! If we write the ODE as

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

Then flip the equation

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

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

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