Recent content by Shade

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    Approximating Derivatives with Finite Differences

    If you can give a hint for n-dimensions HallsofIvy then I am sure I can solve it for 1d ;-)
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    Approximating Derivatives with Finite Differences

    I would assume one dimension. xi are discrete points. If anyone has any ideas on how to solve this please shout ;-)
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    Approximating Derivatives with Finite Differences

    Homework Statement Show that the first order derivative y'(xi) in the point xi may be approximated by y'(xi)= (1/12*h) * (-3yi-1 -10yi + 18yi+1 -6yi+2 + yi+3) - (1/20h) h^4*y^(5) + O(h^5) The Attempt at a Solution I think the idea is to setup a linear system and some how use taylor...
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    Eulers Method to Approximate Differential Eq.

    If you are using MATLAB I have some code which can get you started.
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    First order ODE initial value problem

    Check out my solution at https://www.physicsforums.com/showthread.php?t=111094
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    Solution of a first order ODE.

    Found a away to get the solution y = (t^2 + C)^2 where C equals the initial value for y(0) = C
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    First order ODE initial value problem

    Is it not possible to integrate a first order differential equation and also consider the initial value y(0) = 1 ?
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    First order ODE initial value problem

    Homework Statement Given the below stated equations I need to find the exact polynomial given the initial condition. y(0) = 1 y = 4*t*sqrt(y) Homework EquationsThe Attempt at a Solution I simply disregard the initial value condition and get y = t^4 How can I find the fourth order...
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    Geometry (an interesting question with a hard proof)

    One big "exterior" triangle from X0 to X2, while have the area summed of the four sub triangles triangle t0 = X0,i0,i2 t1 = i0,i2,i1, t2 =i0,X1,i2 and t3 = i1,i2,X2. The exterior triangle X0,X1,X2. This will give four triangles each with an area of 1, the center triangle i0,i1,i2 will per...
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    Geometry (an interesting question with a hard proof)

    Four triangles, each in the plane z = 0 for example, interior triangle i has an area of 1, the exterior triangle and area 4. x - i - x i - i x Might be I am guessing wrongly. EDIT: sorry for my formatting skills
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    Geometry (an interesting question with a hard proof)

    Four triangles each of area one, it does not sound like a contradiction.
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    Solution of a first order ODE.

    What is the exact fourth order polynomial solution given y(0) = 1 ? I can easily go from y' = 4t*sqrt(y) to y = t^4 But I am not able to perform the integration when using the initial value y(0) = 1.