Difference between revisions of "Delta hyperbolic trigonometric second order dynamic equation"
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| − | + | ==Theorem== | |
| − | + | Let $\gamma$ be a nonzero regressive real number, then a general solution of the second order [[dynamic equation]] is | |
$$y^{\Delta \Delta}-\gamma^2 y= 0$$ | $$y^{\Delta \Delta}-\gamma^2 y= 0$$ | ||
is given by | is given by | ||
$$y(t) = c_1 \cosh_{\gamma}(t,s) + c_2 \sinh_{\gamma}(t,s).$$ | $$y(t) = c_1 \cosh_{\gamma}(t,s) + c_2 \sinh_{\gamma}(t,s).$$ | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
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| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Latest revision as of 21:30, 9 June 2016
Theorem
Let $\gamma$ be a nonzero regressive real number, then a general solution of the second order dynamic equation is $$y^{\Delta \Delta}-\gamma^2 y= 0$$ is given by $$y(t) = c_1 \cosh_{\gamma}(t,s) + c_2 \sinh_{\gamma}(t,s).$$
