Question

@phi

Answer 1

yes. y is inversely proportional to x means y = k/x
in this case
dy/dx is inversely proportional to y^4 means dy/dx = k/y^4

Answer 2

so solve multiply both sides by y^4
multiply both sides by dx

Answer 3

yay(: thanks for rechecking my work(:

Answer 4

you should get
(1/5) y^5 = k x + C

Answer 5

oh wait for my final answer i got dy/dx=k/y^4

Answer 6

@phi

Answer 7

the question says
Write and then solve

Answer 8

oh so that wasnt my final answer..

Answer 9

ohh! youre correct , sorry

Answer 10

you did the "write" part
now you have to do the solve

Answer 11

but it's the same process as the previous post (and I posted the steps up above)

Answer 12

yeah i got that, so it would be (1/5)y^5=kx+C?

Answer 13

can you post the steps?

Answer 14

just multipy both sides by dx and y^4

Answer 15

and what do you get ?

Answer 16

y^4dy=kdx

Answer 17

now what is the next step ?

Answer 18

if you see "infinitesimals" like dy or dx I would think about integrating

Answer 19

integral?

Answer 20

okay ill fin the integral(:

Answer 21

yes, because that is how you "get rid of dx" for example

Answer 22

(1/5)y^5=kx+C(:

Answer 23

unless they give you a couple of values for (x,y), we cannot solve for the C or k

Answer 24

thank you so much, you explain it very well, would you mind helping me on two more questions? later on? or will you be leaving soon?

Answer 25

I can go another 15 minutes now, otherwise I'm done for today.

Answer 26

okay(: