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vaieri [72.5K]
3 years ago
13

How to find the general solution to y"'+2y"-4y'-8y=0?

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0
y'''+2y''-4y'-8y=0

has characteristic equation

r^3+2r^2-4r-8=r^2(r+2)-4(r+2)=(r^2-4)(r+2)=(r-2)(r+2)^2=0

which has roots at r=\pm2. The negative root has multiplicity 2. So the general solution is

y=C_1e^{2x}+C_2e^{-2x}+C_3xe^{-2x}
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Round 869907 to the nearest hundredth
Luden [163]
869,907 when rounded to the nearest hundredth = 869,900
5 0
3 years ago
What is the unit rate of 5 pounds of oranges cost 10.45?<br> find the unit rate
nataly862011 [7]

Answer:

The answer is 2.09 per pound.

Step-by-step explanation:

To find the unit rte, you divide 10.45 by 5.

8 0
3 years ago
sammi is trying to wrap a gift for her brother. the gift fits into a cube-shaped box with a side length of 9 inches. how many sq
Flauer [41]

Answer:

A=486\ \text{inches}^2

Step-by-step explanation:

The area of a cube shaped box is given by :

A=6s^2

Where

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We have, s = 9 inches

So,

A=6\times (9)^2\\\\A=486\ \text{inches}^2

So, the required area is 486\ \text{inches}^2.

8 0
2 years ago
1. A parachutist is 800 feet above the ground when she opens her parachute. She then falls at a constant rate of 5 feet per seco
Alexandra [31]

Answer:

h = -5*t +800

Step-by-step explanation:

The initial value is 800 ft

She is falling at a rate of 5 ft per second

That would be -5ft/s

We can write this in the form

y = mx+b

h = -5*t +800  where t is the number of seconds and h is the height above ground


6 0
3 years ago
What is the equation in point slope form of the line passing through (0,5) and (-2,11)
IRISSAK [1]

The equation of the line passing through (x_1,y_1) and (x_2,y_2) is

\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}. Here

\frac{y_2-y_1}{x_2-x_1} is the slope of the line.

Substituting numerical values, the equation of the line is

\frac{x-0}{y-5} =\frac{-2-0}{11-5} \\ \frac{x}{y-5} =-\frac{1}{3} \\ 3x=5-y\\ 3x+y=5

The equation of the line is 3x+y=5

6 0
2 years ago
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