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so i assumed you tried to put in the form y'+p*y=q form

Please help me. How do I start? Divide (x-2)?

divide by (x-2)(x-1)

Okay, I'll try and tell me what's going on. Please don't leave.

you may have to some partial fractions just to let you know

But how do I integrate (4x-3)/((x-2)(x-1))?

partial fractions

So do I multiply (x-2)(x-1)? It's x^2-3x+2.

no

So 4x/(x-2)-3/(x-1)? And 4x(x-1)-3(x-2)? But equal to what?

...
Have you ever done partial fractions before?

So isn't it 5ln(x-2)-ln(x-1)?

What I'm saying is the section on partial fractions can not be explained by one example

Anyways back to what you were saying...

you do recall that x^(a+b) can be written as (x^a)(x^b)
?

Yes.

do you see how that could be helpful here?

Yes, wait a second.

So I got v=(x-1)/(x-2)^5, is this right?

Very good!

Let me work it out then.

Yes, I got it! Thank you so much! Wow, this is a tough problem to solve!

Probably mostly because of the partial fractions part?

Yes!

just practice practice
it will sink in eventually