and no
banned-users
Phi Kappa Chi ΦΚΧ <a:yeah:589703000977571860><a:ppHop:536353159615086612>
Saturday, May 7, 2016
hold on
I think I could do something here...
y(x) = c1 e^(-x/2) sin((sqrt(3) x)/2)+c2 e^(-x/2) cos((sqrt(3) x)/2)+x-1
i used the internet because I can't be bothered to look up how to solve these
this is as far as I got: y = d (-dy -y +xt^2)
thats not valid in any way
I probably broke some rule somewhere
and there was no t in the original
nvm
whoops
d²y/dt² + dy/dt + y = x
y''+y'+y=x
thats better
solve for y?
its the same thing
y = x - y'' - y'
Kappa
again I'm wrong
adding t makes that too complicated
not what i meant
y''+4y'+4y = xwhy is there a random floating apostrophe?
or is that like a double prime or something?
yeah
y = (x - y'' - 4y')/4
Kappa
how does this even work
i forget
first you put all the y differentials on one side and solve that for zero
what about the x?
more work
it involves itegrals and some stuff you need to memorize
integral proteins?....
Keepo
differential equations:
Kappa
the quadratic formula is actually used to solve for zero
(-b +/- rad(b^2 -4ac))/2a
that?
yup
neat
only you use the order of differentiation instead of the exponent
so
y''+2y'+2y=01,1then because magic you get
y(t)=c1e^(t)+c2te^(t)KALEC WAS RIGHT