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
The pattern in the given series of amount in the account are in the form of
arithmetic and geometric progression.
Reasons:
The given table of values is presented as follows;
In Option 1, the amount in dollars for each year has a common difference of d = 100
The first term, a = 1,100
Therefore;
The Option 1 can be represented as an arithmetic progression , A.P. in the
form, tₙ = a + (n - 1)·d as follows;
For the Option 1, we have;
For Option 2, it is possible to find;
1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1
Therefore;
The terms in the Option 2 have a common ratio of r = 1.1
The Option 2 is a geometric progression, G.P.
The first term in Option 2 is a = 1,100
Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾
Therefor;
Learn more about arithmetic and geometric progression here:
Let'sSo, we gave 2 parallel lines and 2 transversals, we have to match the angles.
Let's start with angle b,
Let's move on to angle e,
Let's move on to angle d,
Moving to angle c, we have;
And, angle a;
