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Math Help - differential sec x dy/dx = y^2

  1. #1
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    differential sec x dy/dx = y^2



    can some help me on how to tackle this.

    does sec x = 1/cos x?
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  2. #2
    Senior Member bugatti79's Avatar
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    Quote Originally Posted by decoy808 View Post


    can some help me on how to tackle this.

    does sec x = 1/cos x?
    Yes and I believe this is a separable Non Linear ODE..ie rearrange to put all your x's one one side and y's on the other and then integrate.
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    i have rearranged, but struggling with integrating both sides.
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    A Plied Mathematician
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    I think you have a division error in there. I think it should be



    What does that give you when you integrate?
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    is this the solution?
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    oh almost forgot.....do i add a constant to both sides?
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    e^(i*pi)'s Avatar
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    You could get away with one constant because subtracting a constant from another constant will leave you with a constant
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