Step-by-step explanation:
i) 

ii) 
iii) 

Answer:
17
Step-by-step explanation:
Answer:(x+1)(x+14)
Step-by-step explanation:
Answer:

Step-by-step explanation:

This is a homogeneous linear equation. So, assume a solution will be proportional to:

Now, substitute
into the differential equation:

Using the characteristic equation:

Factor out 

Where:

Therefore the zeros must come from the polynomial:

Solving for
:

These roots give the next solutions:

Where
and
are arbitrary constants. Now, the general solution is the sum of the previous solutions:

Using Euler's identity:


Redefine:

Since these are arbitrary constants

Now, let's find its derivative in order to find
and 

Evaluating
:

Evaluating
:

Finally, the solution is given by:

Answer:
5x - 4y = 0
Step-by-step explanation:
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given 0 = - 5x + 4y ( multiply through by - 1 )
5x - 4y = 0 ← in standard form