Find the general solution to y′′+6y′+13y=0. Give your answer as y= In your answer, use c1 and c2 to denote arbitrary constants and x the independent variable. Enter c1 as c1 and c2 as c2.

Step-by-step explanation:

In order to find the general solution of a homogeneous second order differential equation, we need to solve the characteristic equation. This is basically as easy as solving a quadratic.

For a second order differential equation of type:

Has characteristic equation:

Whose solutions are the roots from which the general solution can be formed. There are three cases:

Real roots:

Repeated roots:

Complex roots:

Therefore:

The characteristic equation for:

Is:

Solving for :

So:

Hence, the general solution of the differential equation will be given by:

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

at least two

step-by-step explanation: