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

Overall, they spent 3 3/4 hours fishing and swimming.
Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
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The answer you are looking for is B. 70.69