# Thread: Second order linear homogenous Differential Equation with constant coefficients

1. ## Second order linear homogenous Differential Equation with constant coefficients

Let $y_n$ be the nth derivative
Then find the value of $y(log4)$, if
$y_2 -7y_1 +12y=0$,

given that-
$y(0)=2$
$y_1(0)=7$

2. 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?

3. Originally Posted by banku12
Let $y_n$ be the nth derivative
Then find the value of $y(log4)$, if
$y_2 -7y_1 +12y=0$,

given that-
$y(0)=2$
$y_1(0)=7$
Where are you stuck here? Can you solve the DE?