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Maths thread.

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Ozle:
Yeah so let's talk about maths....

Awaclus:
Shouldn't this be on the Innovation forum?

sudgy:
Actually, this might be a good idea.  It takes over the random stuff thread a lot.

Can anyone show me why the solution to y'' = -y is A*sin(x) + B*cos(x)?  It might be too complicated for me, but I'm still curious.  I can see that it needs to be sinusoidal, and that that equation is a solution, but how do you derive it?

DStu:

--- Quote from: sudgy on May 08, 2014, 04:27:06 pm ---Actually, this might be a good idea.  It takes over the random stuff thread a lot.

Can anyone show me why the solution to y'' = -y is A*sin(x) + B*cos(x)?  It might be too complicated for me, but I'm still curious.  I can see that it needs to be sinusoidal, and that that equation is a solution, but how do you derive it?

--- End quote ---
In my analysis course, we proved that the solution is unique (given starting point and derivative), and defined sin/cos as the solution...

Axxle:
Is maths anything like math?

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