- anonymous

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

- chestercat

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- myininaya

that is dy/dx=sin(xy) ?

- anonymous

yes

- myininaya

integrate both sides with respect to x

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## More answers

- myininaya

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

- anonymous

i think u are right but im have trouble integrating it

- myininaya

i was gonna say treat y like a constant

- anonymous

i did but i didnt get the right answer

- anonymous

the final answer is y(2) 1.632.

- myininaya

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))

- myininaya

+C

- anonymous

how did you get 1/y

- myininaya

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

- anonymous

it would be -1/3cos3x

- myininaya

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

- anonymous

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

- myininaya

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

- anonymous

this is about using eulers method

- anonymous

by the way

- myininaya

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

- myininaya

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

- anonymous

right we want to find the actual value

- myininaya

i'm learning right now about eulers method

- anonymous

oh ok

- anonymous

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

- anonymous

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

- anonymous

*help

- myininaya

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

- myininaya

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

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