Question

what is the exact values of y(2) if given
dy/dx sin(xy)

Answer 1

that is dy/dx=sin(xy) ?

Answer 2

yes

Answer 3

integrate both sides with respect to x

Answer 4

wait don't listen to me
let me thing about this

Answer 5

i think u are right but im have trouble integrating it

Answer 6

i was gonna say treat y like a constant

Answer 7

i did but i didnt get the right answer

Answer 8

the final answer is y(2) 1.632.

Answer 9

here is what i was going to do
so we intergate dy/dx with respect to x and get y
we integrate the other side with respect to x and get 1/y*(-cos(xy))

Answer 10

+C

Answer 11

how did you get 1/y

Answer 12

find \[\int\limits_{}^{}\sin(3x)dx\]

Answer 13

it would be -1/3cos3x

Answer 14

right so if we are treating y like a constant then what is \[\int\limits_{}^{}\sin(xy)dx\]

Answer 15

ok so what do i plug in y if given x=2

Answer 16

but see i don't think this right
i think we need to separtation of varaibles? but i don't know how to expand sin(xy)
i'm thinking on this part

Answer 17

this is about using eulers method

Answer 18

by the way

Answer 19

ok eulers method let me look into it
chag do you have any thoughts?

Answer 20

so we don't know what y(2) is right?

Answer 21

right we want to find the actual value

Answer 22

i'm learning right now about eulers method

Answer 23

oh ok

Answer 24

i know i have to find the integral bu i do not know what to plug in for y

Answer 25

they gave me initial value but i do not think that would elp

Answer 26

*help

Answer 27

nath this is harder than what i would thought it would be

Answer 28

http://www.math.tamu.edu/REU/comp/matode.pdf
scroll to page 16
this might help