# Math Help - Differential equation

1. ## Differential equation

1)
solve

dy/dx + (y logy)/x = y(logy)^2/(x^2)

2)
SOLVE
(x*y^2)dx - e^(1/(x^3))dx - (x^2)*y dy = 0

Thank you

2. Originally Posted by ceode
1)
solve

dy/dx + (y logy)/x = y(logy)^2/(x^2)

2)
SOLVE
(x*y^2)dx - e^(1/(x^3))dx - (x^2)*y dy = 0

Thank you
For the first one, make the substitution $u=\dfrac{\log y}{x}$ (assume you're letting $\log y$ mean natural log [base e]). It will then become a simple separable equation.

For the second one, rewrite it as $\dfrac{dy}{dx}-\dfrac{1}{x}y=-\dfrac{1}{x^2}e^{-1/x^3}y^{-1}$; this is a Bernoulli equation.

Can you take it from here?

3. Thank you for the tips. I will try. I have a 8 subjest assicnments with a total of 8*6 questions. I have to submit it on monday. They give 2 days to complete these.
The big problem i face is lack of time. Thank you