Solve the differential equation using the method of undetermined coefficients a) 4y"- 4y'-3y= cos2x

Answers

Answer 1

Answer: First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)

next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.

Related Questions

Change the radians to degrees
An isosceles triangle is to be drawn with its two equal sides of length 10. What is the maximum possible area of the triangle?
Sean is 27 centimeters shorter than his father who is 2 meters tall. How tall is Sean? centimeters
16x ^ 2 - 8xy + y ^ 2
Eric earned 60 points on his last test if there were 75 possible points what was his percent grade

(please help me out D: ) (I screenshot the question and answer)

Answers

To find the perimeter, you need the lengths of all 3 legs,
and then you add them up.

Can you find the lengths of the other 2 sides of that triangle ?

Here are a couple of factoids I learned in 1954 and I never forgot:

In a 30°- 60°- 90° right triangle . . .

-- the side opposite the 30° angle (the shorter leg)
is 1/2 the length of the hypotenuse,
and
-- the side opposite the 60° angle (the longer leg)
is (1/2 the length of the hypotenuse) times (√3).

If you have a 30°- 60°- 90° triangle and you know the length
of any one side, then you can find the lengths of the other
two sides with these amazing factoids.

What is the volume of this sphere that has a radius of 6 in

Answers

The volume of any sphere is

V = (4/3) x (pi) x (radius of the sphere)^3 .

$Volume=(4)/(3) \pi radius^3\n\nradius=6in\n\nVolume=(4)/(3) \pi (6)^3=(4 \pi*216 )/(3)=(864 \pi )/(3)=288 \pi in^3\n\nVolume\ is\ equal\ to\ 288 \pi in^3.$

Which function has a domain of all real numbersplease answer accurately I need this to pass my class. thank you.

Answers

Answer:

a.y=-x½+5

Step-by-step explanation:

from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½

the answer is a.) y = -x^1/2 + 5

New Question, I'll offer 40 points again. Please help me if you can. Thank you!!! Which statement best describes the association between variable X and variable Y?A) moderate positive association

B) weak positive association

C) weak negative association

D) moderate negative association

Answers

Answer:

C) weak negative association

Step-by-step explanation:

As X increases, Y generally decreases. So this is a negative association. Because the points are widely scattered, it is also a weak association. So the answer is C.

the answer is c because the graph is going down

Eric sells shirts. It costs him $100 to buy all the shirts and $10, total, to print designs on them. Eric sells each shirt for $4. So far he has sold 20 shirts. He uses the equation y = 4x - 110 to calculate his profit. What is the constant in Eric’s equation?
A) 4
B) -10
C) 20
D) -110