Question

Find a particular solution of x^2*y"+7xy'+8y=6/x.

Answer 1

@amistre64 @freckles

Answer 2

I need to use the substitution method, the one that involves yp=something.

Answer 3

\[y _{p}=?\]

Answer 4

oh you mean the undetermined coefficient thingy

Answer 5

Shouldn't I use\[y _{p}=\frac{ A }{ x }\] as a substitution? And how do I find the derivative of \[y _{p}\]?

Answer 6

how do you find the derivative A/x?
Well A/x is just Ax^(-1)...Just use power rule...

Answer 7

\[y_p=Ax^{-1} \\ y_p'=-Ax^{-2}\]

Answer 8

plug in to find A

Answer 9

Okay, let me do the problem. Wait a minute.

Answer 10

oh you have to find y'' too since you have y'' in there

Answer 11

also your guess for the particular solution looks great. Great guess. :)

Answer 12

Oh, I got it! I got the right answer! This problem is so easy now! Thanks for the help on finding the derivative.

Answer 13

np