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.
Answer:
The answer is A, so zero.
Answer:
10 + 10 + 10 = 30
5 + 5 + 10 = 20
4 + 4 + 5 = 13
5 + 19 x 2 = 43
Step-by-step explanation:
Pair of shoes = 10
Boy = 5
2 snow cones = 4
One shoe = 5
boy + 2 snow cones + a pair of shoes (his feet) x one snow cone = 43
I really hope this helps!
2+3i
------ should be multiplied (numerator and denominator both) by 2+i. This will
2-i remove i from the denominator.
(2+3i) 2+i 4 + 2i + 6i - 3 1 + 8i
-------- * ----------- = ---------------------- = ---------- (answer)
2-i 2+i 4+(-1) 8
You could also write this as (1/8) + i.
Answer:
17/3
Step-by-step explanation:
To find the length of the arc, we have to find what fraction of the circle is the arc. To find this, we do 340/360 because there are 360 degrees in a circle, and get 17/18. Since the circumference is 6, we take 17/18 of 6 which is 17/3.