Answer:

Step-by-step explanation:
Given

Required
Determine a homogeneous linear differential equation
Rewrite the expression as:

Where
and 
For a homogeneous linear differential equation, the repeated value m is given as:

Substitute values for
and 


Add 1 to both sides


Square both sides



In complex numbers:

So, the expression becomes:

Add 1 to both sides


This corresponds to the homogeneous linear differential equation

Answer:
Step-by-step explanation:
Answer:
-31
Step-by-step explanation:
(2×x) - (2×5) = (3×x) + (3×7)
2x-10 = 3x+21
2x-3x = 21+10
-x = 31
therefore, x = -31
A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices.
In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m
We sketch a diagram of a tetrahedron with the given measurement as shown below
To find the height, we will use the Pythagoras theorem
20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)
Answer:x
x ≥ - 7
Step-by-step explanation: