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:
2) Mia needs to buy 3 packages of noisemakers
3)Mia needs to buy 4 packages of hats
4)Mia will dpend a total of $66
It is non proportional because it doesn’t go through the origin I am pretty sure
Answer:
Step-by-step explanation:
(jk^-2/j^-1k^-3)^3
(-2)(-1)^-2
------------- ^3
(-2)^-1(-1)^-3
switch negative exponenst to other side
(-2)(-2)(-1)^3
__________
(-1)^2
4(-1)
-----
1
= -4
REMEMBER all to the 3rd power!
(-4)^3
-64
Answer:..Step-by-step explanation: