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Morgarella [4.7K]
3 years ago
8

How do you do this equation?​

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0

<h2>Answer:</h2><h2>15/4y²</h2><h2>Steps:</h2>

5y^2×3/4

calculate:

15/4y^2

alternate form:

3.75y²

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Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.
Ann [662]
Note that if {x_2}'=x_1, then {x_2}''={x_1}', and so we can collapse the system of ODEs into a linear ODE:

{x_2}''=3{x_2}'-x_2+e^t
{x_2}''-3{x_2}'+x_2=e^t

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0

so that the characteristic solution is

{x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}

Now let's suppose the particular solution is {x_2}_p=ae^t. Then

{x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t

and so

ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1

Thus the general solution for x_2 is

x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t

and you can find the solution x_1 by simply differentiating x_2.
7 0
3 years ago
Min Jee is renovating a house. The living room is a rectangle 22 2/3 feet long and 17 1/4 feet wide. Min Jee wants to put in new
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She will nee 391 square feet of flooring at $13.59: $5313.69
5 0
3 years ago
Read 2 more answers
Solve for x X/3+2=x/3
Nataly_w [17]

Answer:

no solution

Step-by-step explanation:

X/3+2=x/3

Subtract x/3 from each side

X/3-x/3+2=x/3-x/3

2 = 0

This is never true so there is no solution

8 0
3 years ago
Huilan is 9 years older than Thomas. The sum of their ages is 53 . What is Thomas's age?
rosijanka [135]

Answer:

The answer is 43. Hope this helps!!!!!

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Solve the following problem then write your answer before the number.
Triss [41]

Answer:

1) Rizza's average speed is 27 km/h.

2) The distance between Barretto and Pampanga is 294 km.

3) Aaron's journey was 3.5 hours long.

Step-by-step explanation:

1) Time taken to cove the distance = 20 minutes

60 minutes = 1 hour

So that, 20 minutes = \frac{20}{60} hours

                                 = \frac{1}{3} hours

Distance covered = 9 km

But,

speed = \frac{distance covered}{time taken}

Rizza's average speed = 9 ÷ \frac{1}{3}

                                       = 9 x 3

                                       = 27 km/h

Rizza's average speed is 27 km/h.

2) Time taken = 3.5 h

the car's average speed = 84 km/h

Distance between Barretto and Pampanga = average speed x time taken

                                           = 84 km/h x 3.5 h

                                           = 294 km

The distance between Baretto and Pampanga is 294 km.

3) The uniform speed implies that Aaron did not accelerate during his journey.

Distance covered = 210 km

uniform speed = 60 km/h

time taken = \frac{distance covered}{speed}

                   = \frac{210}{60}

                   = 3.5 hours

Aaron's journey was 3.5 hours long.

6 0
2 years ago
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