Solving Separable Differential Equation: dy/dx = (6x^2)/((1+x^3)y)

[myusernameis]

Homework Statement

dy/dx = (6x^2)/((1+x^3)y)

Homework Equations

The Attempt at a Solution

it's a separable func. so after integrating, it looks like this (base on my calculation)

y^2 = 36ln(1+x^3)

so how do i find y? is it just sqrt(36ln(1+x^3))

thanks

 

[Dick]

36? Really? Could you check that again? Aside from that, sure, except y^2=A has two solutions. y=+sqrt(A) and y=-sqrt(A).

 

[myusernameis]

36? Really? Could you check that again? Aside from that, sure, except y^2=A has two solutions. y=+sqrt(A) and y=-sqrt(A).

is the 36 supposed to be a 4?

brain fart... suddenly forgot how to do integration..

 

[Dick]

Well, I got 4. Doesn't mean it's correct. If you're not sure you'd better check again.

 

[epenguin]

I think it's 4 but also I think it's not going to matter too much when you get to the end.

 

[myusernameis]

Thanks guys!

i'm pretty sure (lol) it's 4

 

[epenguin]

I suggest you also try writing it in the form x=
and also express both forms in terms of an initial condition e.g. x_y=0 and/or y_x=0.