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    struggling a bit with this. please give some good working and not just a hint. i've been struggling for a while with this. i have an ok idea of how to solve these, but i keep getting to a tricky integration by parts and i'm thinking there must be an easier way, considering the standard of the rest of the exercise.

    it's an integrating factor question:

    dy/dx+ysecx=cosx
    when x=0,y=1

    find the particular solution
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     \frac{dy}{dx} + Py = Q

     y(e^{\int P}) = \int (e^{\int P})(Q)\ dx

    P is secx, and Q is cosx,  \int secx dx = ln(secx + tanx) and remember  e^{ln(a)} = a
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    they give these in the formula booklet

    \int secx\ dx

    \int tanx\ dx

    \int cotx\ dx

    \int cosecx\ dx
 
 
 
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Updated: February 12, 2010
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