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 :

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i

asdasdsad

step-by-step explanation: