Identifying equation type...

**snaes** · February 11th 2010, 08:03 AM

Hi, I need help identifying what type of differential equation the following are. Once I know the type, I'll be able to solve them. Also, if the equations are not exact as given, we arent supposed to find the integrationg factor. Thanks!

Should be one of the following types: Seperable, Homogeneous, Linear, Bernoulli, and/or Exact.

$(2x^2y)dx+(e^{x^3+2y^3})dy=0$ ...Solved by chisigma!
As given this is not exact, but I cannot get it to fit any other types.

$(x)dx-(x^2y+y^3)dy=0$ ...yet to be solved
Also, not exact, but I cannot get this into a different form.

**chisigma** · February 11th 2010, 08:13 AM

With simple steps we obtain...

$2\cdot x^{2} \cdot e^{-x^{3}}\cdot dx= -\frac{e^{2y^{3}}}{y}\cdot dy$ (1)

... so that the DE is separable...

Kind regards

$\chi$ $\sigma$