Let $\displaystyle y_n$ be the nth derivative
Then find the value of $\displaystyle y(log4)$, if
$\displaystyle y_2 -7y_1 +12y=0$,
given that-
$\displaystyle y(0)=2$
$\displaystyle y_1(0)=7$
Let $\displaystyle y_n$ be the nth derivative
Then find the value of $\displaystyle y(log4)$, if
$\displaystyle y_2 -7y_1 +12y=0$,
given that-
$\displaystyle y(0)=2$
$\displaystyle y_1(0)=7$
This is a second order homogeneous differential equation. You can solve it using the methods explained under the heading "Second Order Differential Equations" on this guide: http://www.mathhelpforum.com/math-he...-tutorial.html
In particular you need to find the characteristic equation and solve its roots.
Have you made any progress on this problem? What exactly are you stuck on?