#5 please help me solve this
1 answer:
You might be interested in
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
<u> | 0 -2 - 13 -11 </u>
2 13 11 0
∴
The roots are
So,
Then the general solution is :
Answer:
Area of the circular sidewalk = 405 m²
Step-by-step explanation:
Radius of the circular flower bed = 20 m
Area of the circular bed = πr²
Here r = radius of the circle
Area of the circular bed = π(20)²
= 400π square meter
Radius of the larger circle = Radius of the flower bed + width of the sidewalk
= 20 + 3
= 23 m
Area of the larger circle = π(23)²
= 529π m²
Area of the circular sidewalk = Area of the larger circle - Area of the flower bed
= 529π - 400π
= 129π
= 129(3.14)
= 405.06 square meters
≈ 405 square meters
