Recent content by Shade

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

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

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...

If you are using MATLAB I have some code which can get you started.

Check out my solution at https://www.physicsforums.com/showthread.php?t=111094

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

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

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...

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...

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

Four triangles each of area one, it does not sound like a contradiction.

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.