# Thread: Linear , homogenous, separation and change of variables

1. ## Re: Linear , homogenous, separation and change of variables

Wait I will figure out.

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2. ## Re: Linear , homogenous, separation and change of variables

Like this?

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3. ## Re: Linear , homogenous, separation and change of variables

That's not quite standard linear form...check my post.

4. ## Re: Linear , homogenous, separation and change of variables

Like this??

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5. ## Re: Linear , homogenous, separation and change of variables

No, go back and look at my post...you will see I wrote the equation in standard linear form, and then I computed the integrating factor.

6. ## Re: Linear , homogenous, separation and change of variables

Or this?

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7. ## Re: Linear , homogenous, separation and change of variables

Yes, isn't that what I wrote?

8. ## Re: Linear , homogenous, separation and change of variables

Hahaha yes i notice the r is transfer. Then after that? Integrating factor.?

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9. ## Re: Linear , homogenous, separation and change of variables

Yes, once you have the equation in standard linear form, you want to compute the integrating factor.

10. ## Re: Linear , homogenous, separation and change of variables

This is what i get now.

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11. ## Re: Linear , homogenous, separation and change of variables

Okay, distribute the integrating factor on the left, and you will find the LHS can then be expressed as the derivative of the product of the integrating factor and the dependent variable r. This is the reason for computing the integrating factor in the first place.

12. ## Re: Linear , homogenous, separation and change of variables

Okay now i get it.. heres my answer

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13. ## Re: Linear , homogenous, separation and change of variables

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14. ## Re: Linear , homogenous, separation and change of variables

You should really be starting new threads for new questions, and looking into using $\displaystyle \LaTeX$ to post your math instead of images (frequently sideways) of handwritten work.

We are given:

$\displaystyle (x+y)dx+(3x^2-y)dy=0$

Is this ODE exact?

15. ## Re: Linear , homogenous, separation and change of variables

I think its not exact.

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