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Math Help - seperable equation

  1. #1
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    seperable equation

    okay i really should know how to do this but i've been out of learning for 3 years. Okay so i got a question :

    a)seperate the variable in this differential equation ready for intergration, but do not solve the equation yet:

    [tex]\frac{dy}{dx} = x^2y[\math]

    b) Now solve the equation to find the General solution.

    c)If y = 100 when x = 0 obtain the particular solution.

    okay i know sorta the first answer but have no clue about the 2nd and 3rd parts. What is the general and particular solution and how do i get them?.

    Thanks guys
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  2. #2
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    Quote Originally Posted by mxmadman_44 View Post
    a)seperate the variable in this differential equation ready for intergration, but do not solve the equation yet:
    \frac{dy}{dx} = x^2y

    \frac{dy}{y} = x^2 dx

    Ringing any bells?

    Note: Alarm #1 - If you REALLY have no clue, PLEASE go talk with your academic advisor in order to determine what class you should be in. "No clue" NEVER should be the case.
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  3. #3
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    Quote Originally Posted by mxmadman_44 View Post

    a)seperate the variable in this differential equation ready for intergration, but do not solve the equation yet:

    [tex]\frac{dy}{dx} = x^2y[\math]
    a)
    Attached Thumbnails Attached Thumbnails seperable equation-aug20.gif  
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