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

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

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-
$\displaystyle y(0)=2$
$\displaystyle y_1(0)=7$

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

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