Question

Solve Initial Value Problem? dy/dx=y/x and y=2 when x=2

Answer 1

oooo differential equations? separable equations?

Answer 2

ok so we need x's on one side and y's on the other.. in the form of h(y) dy = f(x) dx

Answer 3

so multiply the y/x by dx and divide the y... this is so hard without draw!

Answer 4

Okay done

Answer 5

http://www.twiddla.com/1474663

Answer 6

we need a y not a ln y
so I think we need to e to the everything

Answer 7

my bad i didn't even see you typing.

Answer 8

WHAT THE HECK?

Answer 9

lol :P

Answer 10

I thought antiderivative of 1/y 1/x is ln y and ln x? :P

Answer 11

ufkodfjdskfdslj;sdaf ljdfslkj I have to finish my latex or I'm screwed...

Answer 12

i did dy/dx = x/y

good thing you're here :P

Answer 13

yeah but we need the equation in the form of h(y) dy = f(x) dx

Answer 14

Well now I'm confused

Answer 15

:o

Answer 16

so ... dx needs to go to the right the y oh wait. ugh that could be me screwing it up by accident... it would be let me redraw this.

Answer 17

Equation and draw tool are still broken :c le sigh...

Answer 18

yeah I effed up by accident sorry long day at school tired D:

Answer 19

http://www.twiddla.com/1474663

Answer 20

Ooo neat tool :O Never seen this before!

Answer 21

Why x/y ?

Answer 22

there whew..........

Answer 23

this is a separable equation... please go to the link for the drawing of your problem

Answer 24

you need all y's to the left and all x's to the right

Answer 25

The original problem was y/x silly D:

Answer 26

OMG just see my drawing D:<

Answer 27

But..... :(

Answer 28

You started with dy/dx = x/y

the original problem is dy/dx = y/x .... :C

Answer 29

ughhhhh sorry my bad...oh man second time fine third time is the charm as they say

Answer 30

XD

Answer 31

Why is the cutting of the bottom quarter of the page on twiddla?
Am I the only one having that problem? :[
Hmm weird..

Answer 32

****** I was right earlier with the lns who is trying to screw me up ? D:

Answer 33

Sigh...

Answer 34

Yes you were on the right track the first time it appears :o

Answer 35

yeah someone threw me off. >:/

Answer 36

@Euler271 DID IT >:O

Answer 37

And now I'm stealing your thunder XD
Sneaky green text lol

Answer 38

change to

(1/y) dy/dx = (1/x)

Then integrate both sides with respect to x.

Answer 39

This twiddla is way cool. Imma have to use this til we get our site utilities up and working.

Answer 40

So zepdrix your answer is correct?

Answer 41

I think so :o
It got erased t.t pony got mad

Answer 42

I wrote it all down

Answer 43

Did you understand the exponentiation step she was doing? :o
That part can be a little tricky.

Answer 44

Particularly, did you understand why the C is now being multiplied instead of added?

Answer 45

exponential rules

Answer 46

Yeah, I got it:) Thanks for the help. Phew. I need some sleep :P