Find the general solution to:
y^(4) - y =0

Step-by-step explanation:

The equation is a linear differential equation: y⁽⁴⁾- y = 0

We assume the form of the solution y(t) is

where are the roots of the auxiliary equation.

So, use the auxiliary equation: to find the roots; the values are : α₁ = 1, α₂ = -1, α₃ = i, α₄ = -i

Then inserting values in the assumed solution

⇒

Also, because the last 2 terms have complex power, the solution can be written with cosine and sine terms:

Using the Euler's formula: , we can rewrite the solution as:

 =

Where:

Finally the solution for de linear differential equation y^(4) - y =0 is:

e) none of the above because the measure of angle cba is 101°

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq