Use the procedures developed to find the general solution of the differential equation. (Let x be the independent variable.) 2y''' + 15y'' + 24y' + 11y= 0

Solution :

Given :

2y''' + 15y'' + 24y' + 11y= 0

Let x = independent variable

 is a differential equation.

If

It is non homogeneous then,

The general solution  = complementary solution + particular integral

If Q(x) = 0

It is called the homogeneous then the general solution =  complementary solution.

2y''' + 15y'' + 24y' + 11y= 0

Auxiliary equation,

-1  | 2    15    24     11

    | 0   -2    - 13    -11  

      2    13    11       0

∴

The roots are

So,

Then the general solution is :

step-by-step explanation:

if you want to separate 54 into 6 individual tiers then you need to divide if you want to separate 54 into 6 individual tiers then you need to divide 6 and 54.

if you divide 9 by 6 you will get 54.

- hope i .