solve using greens theorem:
we seek to solve: d^ 2 y/ dx^2 + 4y = 4 sec 2x tan 2x, subject to the initial conditions y(0) = 3 , y'(0) = −4
(a) find the solution to the homogeneous equation with the nonhomogeneous boundary conditions (yh).
(b) what is the green’s function for this operator?
(c) what is the particular solution (yp)?
(d) what is the solution to the initial value problem ((1)& (
(e) what is the largest interval starting at x = 0 for which the solution is valid?

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

i think the answer is b

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.