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anonymous

  • 5 years ago

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

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  1. myininaya
    • 5 years ago
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    that is dy/dx=sin(xy) ?

  2. anonymous
    • 5 years ago
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    yes

  3. myininaya
    • 5 years ago
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    integrate both sides with respect to x

  4. myininaya
    • 5 years ago
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    wait don't listen to me let me thing about this

  5. anonymous
    • 5 years ago
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    i think u are right but im have trouble integrating it

  6. myininaya
    • 5 years ago
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    i was gonna say treat y like a constant

  7. anonymous
    • 5 years ago
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    i did but i didnt get the right answer

  8. anonymous
    • 5 years ago
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    the final answer is y(2) 1.632.

  9. myininaya
    • 5 years ago
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    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))

  10. myininaya
    • 5 years ago
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    +C

  11. anonymous
    • 5 years ago
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    how did you get 1/y

  12. myininaya
    • 5 years ago
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    find \[\int\limits_{}^{}\sin(3x)dx\]

  13. anonymous
    • 5 years ago
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    it would be -1/3cos3x

  14. myininaya
    • 5 years ago
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    right so if we are treating y like a constant then what is \[\int\limits_{}^{}\sin(xy)dx\]

  15. anonymous
    • 5 years ago
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    ok so what do i plug in y if given x=2

  16. myininaya
    • 5 years ago
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    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

  17. anonymous
    • 5 years ago
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    this is about using eulers method

  18. anonymous
    • 5 years ago
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    by the way

  19. myininaya
    • 5 years ago
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    ok eulers method let me look into it chag do you have any thoughts?

  20. myininaya
    • 5 years ago
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    so we don't know what y(2) is right?

  21. anonymous
    • 5 years ago
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    right we want to find the actual value

  22. myininaya
    • 5 years ago
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    i'm learning right now about eulers method

  23. anonymous
    • 5 years ago
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    oh ok

  24. anonymous
    • 5 years ago
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    i know i have to find the integral bu i do not know what to plug in for y

  25. anonymous
    • 5 years ago
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    they gave me initial value but i do not think that would elp

  26. anonymous
    • 5 years ago
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    *help

  27. myininaya
    • 5 years ago
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    nath this is harder than what i would thought it would be

  28. myininaya
    • 5 years ago
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    http://www.math.tamu.edu/REU/comp/matode.pdf scroll to page 16 this might help

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