Note that if

, then

, and so we can collapse the system of ODEs into a linear ODE:


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

so that the characteristic solution is

Now let's suppose the particular solution is

. Then

and so

Thus the general solution for

is

and you can find the solution

by simply differentiating

.
She will nee 391 square feet of flooring at $13.59: $5313.69
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
Answer:
The answer is 43. Hope this helps!!!!!
Step-by-step explanation:
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 =
hours
=
hours
Distance covered = 9 km
But,
speed = 
Rizza's average speed = 9 ÷ 
= 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 = 
= 
= 3.5 hours
Aaron's journey was 3.5 hours long.