1. { x= sin t ; y= sin kt} <=> (1-x)*[(d^2*y)/(dx^2)] - x*[(dy)/(dx)]+ k^2*y=0
?
And how to solve this limit? ->
2. Lim[x->Pi/2][tan x]^(2x-Pi) ?
Hello, RCola!
Let: \tan x)^{2x-\pi}" alt="y \:=\\tan x)^{2x-\pi}" />
Take logs: .
. . . . . . . . . . . .
Apply L'Hopital: .
. . . . . . . .
Apply l'Hopital: .
. . Then: .
. .
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Edit: Ah, Prove It beat me to it! .And did an excellent job!
. . . .(Oh well, I did my work at "ground level" . . .)
\dfrac{dy}{dx} = smth...
This function is given in parametric form. Also there was given some definition, something like . So it need to be proven that taking derivatives up to 2nd power/ level will be equal to
Is there any tool to easily write math formulas between MATH quotes?